KILLED proof of input_htYrR6PhmA.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).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), 0 ms] (6) CdtProblem (7) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxRelTRS (9) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (10) CpxRelTRS (11) TypeInferenceProof [BOTH BOUNDS(ID, ID), 10 ms] (12) typed CpxTrs (13) OrderProof [LOWER BOUND(ID), 0 ms] (14) typed CpxTrs (15) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms] (16) TRS for Loop Detection (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), 0 ms] (24) CpxTypedWeightedCompleteTrs (25) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 11 ms] (26) CpxRNTS (27) InliningProof [UPPER BOUND(ID), 1156 ms] (28) CpxRNTS (29) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (30) CpxRNTS (31) CompletionProof [UPPER BOUND(ID), 0 ms] (32) CpxTypedWeightedCompleteTrs (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 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) CdtToCpxRelTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CpxRelTRS (43) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (44) CpxTRS (45) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CpxWeightedTrs (47) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CpxTypedWeightedTrs (49) CompletionProof [UPPER BOUND(ID), 0 ms] (50) CpxTypedWeightedCompleteTrs (51) NarrowingProof [BOTH BOUNDS(ID, ID), 98 ms] (52) CpxTypedWeightedCompleteTrs (53) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 2 ms] (54) CpxRNTS (55) InliningProof [UPPER BOUND(ID), 1692 ms] (56) CpxRNTS (57) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CpxRNTS (59) CompletionProof [UPPER BOUND(ID), 0 ms] (60) CpxTypedWeightedCompleteTrs (61) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (62) CpxRNTS (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (66) CdtProblem (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms] (70) CdtProblem (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (72) CdtProblem (73) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (74) CdtProblem (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (76) CdtProblem (77) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (78) CdtProblem (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms] (86) CdtProblem (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 39 ms] (88) CdtProblem (89) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (90) CdtProblem (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms] (94) CdtProblem (95) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 2 ms] (98) CdtProblem (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 76 ms] (100) CdtProblem (101) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (102) CdtProblem (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms] (106) CdtProblem (107) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms] (112) CdtProblem (113) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (114) CdtProblem (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (118) CdtProblem (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (120) CdtProblem (121) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 5 ms] (122) CdtProblem (123) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 32 ms] (124) CdtProblem (125) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (126) CdtProblem (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 59 ms] (128) CdtProblem (129) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (130) CdtProblem (131) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 156 ms] (132) CdtProblem (133) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (134) CdtProblem (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 55 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms] (140) CdtProblem (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (144) CdtProblem (145) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 10 ms] (146) CdtProblem (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 18 ms] (148) CdtProblem (149) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 75 ms] (152) CdtProblem (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (154) CdtProblem (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 78 ms] (156) CdtProblem (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (158) CdtProblem (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 192 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 173 ms] (164) CdtProblem (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (166) CdtProblem (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 118 ms] (168) CdtProblem (169) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 4 ms] (170) CdtProblem (171) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (172) CdtProblem (173) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 188 ms] (174) CdtProblem (175) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 61 ms] (176) CdtProblem (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 39 ms] (178) CdtProblem (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 330 ms] (180) CdtProblem (181) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (182) CdtProblem (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 48 ms] (184) CdtProblem (185) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 184 ms] (186) CdtProblem (187) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 22 ms] (188) CdtProblem (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 66 ms] (190) CdtProblem (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 204 ms] (192) CdtProblem (193) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 57 ms] (194) CdtProblem (195) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 81 ms] (196) CdtProblem (197) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 109 ms] (198) CdtProblem (199) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 79 ms] (200) CdtProblem (201) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 46 ms] (202) CdtProblem (203) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 160 ms] (204) CdtProblem (205) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (206) CdtProblem (207) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 74 ms] (208) CdtProblem (209) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 86 ms] (210) CdtProblem (211) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 15 ms] (212) CdtProblem (213) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 113 ms] (214) CdtProblem (215) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 45 ms] (216) CdtProblem (217) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 282 ms] (218) CdtProblem (219) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 91 ms] (220) CdtProblem (221) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 110 ms] (222) CdtProblem (223) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 192 ms] (224) CdtProblem (225) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 101 ms] (226) CdtProblem (227) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 73 ms] (228) CdtProblem (229) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 275 ms] (230) CdtProblem (231) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 21 ms] (232) CdtProblem (233) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 89 ms] (234) CdtProblem (235) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 247 ms] (236) CdtProblem (237) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 64 ms] (238) CdtProblem (239) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 111 ms] (240) CdtProblem (241) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 159 ms] (242) CdtProblem (243) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 113 ms] (244) CdtProblem (245) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 24 ms] (246) CdtProblem (247) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 98 ms] (248) CdtProblem (249) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 112 ms] (250) CdtProblem (251) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 86 ms] (252) CdtProblem (253) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 318 ms] (254) CdtProblem (255) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 10 ms] (256) CdtProblem (257) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 234 ms] (258) CdtProblem (259) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 39 ms] (260) CdtProblem (261) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 423 ms] (262) CdtProblem (263) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 19 ms] (264) CdtProblem (265) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 244 ms] (266) CdtProblem (267) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 68 ms] (268) CdtProblem (269) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 181 ms] (270) CdtProblem (271) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 70 ms] (272) CdtProblem (273) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 186 ms] (274) CdtProblem (275) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 163 ms] (276) 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__dbl(0) -> 0 a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(nil) -> nil a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) a__sel(0, cons(X, Y)) -> mark(X) a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) a__indx(nil, X) -> nil a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) a__from(X) -> cons(X, from(s(X))) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(indx(X1, X2)) -> a__indx(mark(X1), X2) mark(from(X)) -> a__from(X) mark(0) -> 0 mark(s(X)) -> s(X) mark(nil) -> nil mark(cons(X1, X2)) -> cons(X1, X2) a__dbl(X) -> dbl(X) a__dbls(X) -> dbls(X) a__sel(X1, X2) -> sel(X1, X2) a__indx(X1, X2) -> indx(X1, X2) a__from(X) -> from(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__dbl(0') -> 0' a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(nil) -> nil a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) a__sel(0', cons(X, Y)) -> mark(X) a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) a__indx(nil, X) -> nil a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) a__from(X) -> cons(X, from(s(X))) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(indx(X1, X2)) -> a__indx(mark(X1), X2) mark(from(X)) -> a__from(X) mark(0') -> 0' mark(s(X)) -> s(X) mark(nil) -> nil mark(cons(X1, X2)) -> cons(X1, X2) a__dbl(X) -> dbl(X) a__dbls(X) -> dbls(X) a__sel(X1, X2) -> sel(X1, X2) a__indx(X1, X2) -> indx(X1, X2) a__from(X) -> from(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__dbl(0) -> 0 a__dbl(s(X)) -> s(s(dbl(X))) a__dbls(nil) -> nil a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) a__sel(0, cons(X, Y)) -> mark(X) a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) a__indx(nil, X) -> nil a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) a__from(X) -> cons(X, from(s(X))) mark(dbl(X)) -> a__dbl(mark(X)) mark(dbls(X)) -> a__dbls(mark(X)) mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) mark(indx(X1, X2)) -> a__indx(mark(X1), X2) mark(from(X)) -> a__from(X) mark(0) -> 0 mark(s(X)) -> s(X) mark(nil) -> nil mark(cons(X1, X2)) -> cons(X1, X2) a__dbl(X) -> dbl(X) a__dbls(X) -> dbls(X) a__sel(X1, X2) -> sel(X1, X2) a__indx(X1, X2) -> indx(X1, X2) a__from(X) -> from(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__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 S tuples: A__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__DBL_1, A__DBLS_1, A__SEL_2, A__INDX_2, A__FROM_1, MARK_1 Compound Symbols: c, c1, c2, c3, c4, c5, c6_1, c7_2, c8_2, c9, c10, c11, c12, c13, c14, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c21, c22, c23, c24 ---------------------------------------- (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__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 The (relative) TRS S consists of the following rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Rewrite Strategy: INNERMOST ---------------------------------------- (9) RenamingProof (BOTH BOUNDS(ID, ID)) Renamed function symbols to avoid clashes with predefined symbol. ---------------------------------------- (10) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: A__DBL(0') -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0', cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0') -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 The (relative) TRS S consists of the following rules: a__dbl(0') -> 0' a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0') -> 0' mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Rewrite Strategy: INNERMOST ---------------------------------------- (11) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Inferred types. ---------------------------------------- (12) Obligation: Innermost TRS: Rules: A__DBL(0') -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0', cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0') -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 a__dbl(0') -> 0' a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0') -> 0' mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Types: A__DBL :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c:c1:c2 0' :: 0':s:nil:cons:dbl:dbls:sel:indx:from c :: c:c1:c2 s :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c1 :: c:c1:c2 c2 :: c:c1:c2 A__DBLS :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c3:c4:c5 nil :: 0':s:nil:cons:dbl:dbls:sel:indx:from c3 :: c3:c4:c5 cons :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c4 :: c3:c4:c5 c5 :: c3:c4:c5 A__SEL :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> c6:c7:c8:c9 c6 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 MARK :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c7 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 mark :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c8 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 c9 :: c6:c7:c8:c9 A__INDX :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> c10:c11:c12 c10 :: c10:c11:c12 c11 :: c10:c11:c12 c12 :: c10:c11:c12 A__FROM :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c13:c14 c13 :: c13:c14 c14 :: c13:c14 dbl :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c15 :: c:c1:c2 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 dbls :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c16 :: c3:c4:c5 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 sel :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c17 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c18 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 indx :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c19 :: c10:c11:c12 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 from :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c20 :: c13:c14 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c21 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c22 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c23 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c24 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 a__dbl :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__dbls :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__sel :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__indx :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__from :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from hole_c:c1:c21_25 :: c:c1:c2 hole_0':s:nil:cons:dbl:dbls:sel:indx:from2_25 :: 0':s:nil:cons:dbl:dbls:sel:indx:from hole_c3:c4:c53_25 :: c3:c4:c5 hole_c6:c7:c8:c94_25 :: c6:c7:c8:c9 hole_c15:c16:c17:c18:c19:c20:c21:c22:c23:c245_25 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 hole_c10:c11:c126_25 :: c10:c11:c12 hole_c13:c147_25 :: c13:c14 gen_0':s:nil:cons:dbl:dbls:sel:indx:from8_25 :: Nat -> 0':s:nil:cons:dbl:dbls:sel:indx:from gen_c6:c7:c8:c99_25 :: Nat -> c6:c7:c8:c9 gen_c15:c16:c17:c18:c19:c20:c21:c22:c23:c2410_25 :: Nat -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 ---------------------------------------- (13) OrderProof (LOWER BOUND(ID)) Heuristically decided to analyse the following defined symbols: A__SEL, MARK, mark, a__sel They will be analysed ascendingly in the following order: A__SEL = MARK mark < A__SEL mark < MARK mark = a__sel ---------------------------------------- (14) Obligation: Innermost TRS: Rules: A__DBL(0') -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0', cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0') -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 a__dbl(0') -> 0' a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0', cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0') -> 0' mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Types: A__DBL :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c:c1:c2 0' :: 0':s:nil:cons:dbl:dbls:sel:indx:from c :: c:c1:c2 s :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c1 :: c:c1:c2 c2 :: c:c1:c2 A__DBLS :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c3:c4:c5 nil :: 0':s:nil:cons:dbl:dbls:sel:indx:from c3 :: c3:c4:c5 cons :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c4 :: c3:c4:c5 c5 :: c3:c4:c5 A__SEL :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> c6:c7:c8:c9 c6 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 MARK :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c7 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 mark :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c8 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c6:c7:c8:c9 c9 :: c6:c7:c8:c9 A__INDX :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> c10:c11:c12 c10 :: c10:c11:c12 c11 :: c10:c11:c12 c12 :: c10:c11:c12 A__FROM :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> c13:c14 c13 :: c13:c14 c14 :: c13:c14 dbl :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c15 :: c:c1:c2 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 dbls :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c16 :: c3:c4:c5 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 sel :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c17 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c18 :: c6:c7:c8:c9 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 indx :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c19 :: c10:c11:c12 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 from :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from c20 :: c13:c14 -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c21 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c22 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c23 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 c24 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 a__dbl :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__dbls :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__sel :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__indx :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from a__from :: 0':s:nil:cons:dbl:dbls:sel:indx:from -> 0':s:nil:cons:dbl:dbls:sel:indx:from hole_c:c1:c21_25 :: c:c1:c2 hole_0':s:nil:cons:dbl:dbls:sel:indx:from2_25 :: 0':s:nil:cons:dbl:dbls:sel:indx:from hole_c3:c4:c53_25 :: c3:c4:c5 hole_c6:c7:c8:c94_25 :: c6:c7:c8:c9 hole_c15:c16:c17:c18:c19:c20:c21:c22:c23:c245_25 :: c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 hole_c10:c11:c126_25 :: c10:c11:c12 hole_c13:c147_25 :: c13:c14 gen_0':s:nil:cons:dbl:dbls:sel:indx:from8_25 :: Nat -> 0':s:nil:cons:dbl:dbls:sel:indx:from gen_c6:c7:c8:c99_25 :: Nat -> c6:c7:c8:c9 gen_c15:c16:c17:c18:c19:c20:c21:c22:c23:c2410_25 :: Nat -> c15:c16:c17:c18:c19:c20:c21:c22:c23:c24 Generator Equations: gen_0':s:nil:cons:dbl:dbls:sel:indx:from8_25(0) <=> 0' gen_0':s:nil:cons:dbl:dbls:sel:indx:from8_25(+(x, 1)) <=> s(gen_0':s:nil:cons:dbl:dbls:sel:indx:from8_25(x)) gen_c6:c7:c8:c99_25(0) <=> c6(c20(c13)) gen_c6:c7:c8:c99_25(+(x, 1)) <=> c7(gen_c6:c7:c8:c99_25(x), c20(c13)) gen_c15:c16:c17:c18:c19:c20:c21:c22:c23:c2410_25(0) <=> c20(c13) gen_c15:c16:c17:c18:c19:c20:c21:c22:c23:c2410_25(+(x, 1)) <=> c15(c, gen_c15:c16:c17:c18:c19:c20:c21:c22:c23:c2410_25(x)) The following defined symbols remain to be analysed: a__sel, A__SEL, MARK, mark They will be analysed ascendingly in the following order: A__SEL = MARK mark < A__SEL mark < MARK mark = a__sel ---------------------------------------- (15) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID)) Transformed a relative TRS into a decreasing-loop problem. ---------------------------------------- (16) 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__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 The (relative) TRS S consists of the following rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Rewrite Strategy: INNERMOST ---------------------------------------- (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__dbl(0) -> 0 [1] a__dbl(s(X)) -> s(s(dbl(X))) [1] a__dbls(nil) -> nil [1] a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) [1] a__sel(0, cons(X, Y)) -> mark(X) [1] a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) [1] a__indx(nil, X) -> nil [1] a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) [1] a__from(X) -> cons(X, from(s(X))) [1] mark(dbl(X)) -> a__dbl(mark(X)) [1] mark(dbls(X)) -> a__dbls(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(indx(X1, X2)) -> a__indx(mark(X1), X2) [1] mark(from(X)) -> a__from(X) [1] mark(0) -> 0 [1] mark(s(X)) -> s(X) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(X1, X2) [1] a__dbl(X) -> dbl(X) [1] a__dbls(X) -> dbls(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__indx(X1, X2) -> indx(X1, X2) [1] a__from(X) -> from(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__dbl(0) -> 0 [1] a__dbl(s(X)) -> s(s(dbl(X))) [1] a__dbls(nil) -> nil [1] a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) [1] a__sel(0, cons(X, Y)) -> mark(X) [1] a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) [1] a__indx(nil, X) -> nil [1] a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) [1] a__from(X) -> cons(X, from(s(X))) [1] mark(dbl(X)) -> a__dbl(mark(X)) [1] mark(dbls(X)) -> a__dbls(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(indx(X1, X2)) -> a__indx(mark(X1), X2) [1] mark(from(X)) -> a__from(X) [1] mark(0) -> 0 [1] mark(s(X)) -> s(X) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(X1, X2) [1] a__dbl(X) -> dbl(X) [1] a__dbls(X) -> dbls(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__indx(X1, X2) -> indx(X1, X2) [1] a__from(X) -> from(X) [1] The TRS has the following type information: a__dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 0 :: 0:s:dbl:nil:cons:dbls:sel:indx:from s :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from nil :: 0:s:dbl:nil:cons:dbls:sel:indx:from cons :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from mark :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from Rewrite Strategy: INNERMOST ---------------------------------------- (21) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: mark_1 a__indx_2 a__sel_2 a__dbls_1 a__from_1 a__dbl_1 Due to the following rules being added: none And the following fresh constants: none ---------------------------------------- (22) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__dbl(0) -> 0 [1] a__dbl(s(X)) -> s(s(dbl(X))) [1] a__dbls(nil) -> nil [1] a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) [1] a__sel(0, cons(X, Y)) -> mark(X) [1] a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) [1] a__indx(nil, X) -> nil [1] a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) [1] a__from(X) -> cons(X, from(s(X))) [1] mark(dbl(X)) -> a__dbl(mark(X)) [1] mark(dbls(X)) -> a__dbls(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(indx(X1, X2)) -> a__indx(mark(X1), X2) [1] mark(from(X)) -> a__from(X) [1] mark(0) -> 0 [1] mark(s(X)) -> s(X) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(X1, X2) [1] a__dbl(X) -> dbl(X) [1] a__dbls(X) -> dbls(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__indx(X1, X2) -> indx(X1, X2) [1] a__from(X) -> from(X) [1] The TRS has the following type information: a__dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 0 :: 0:s:dbl:nil:cons:dbls:sel:indx:from s :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from nil :: 0:s:dbl:nil:cons:dbls:sel:indx:from cons :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from mark :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 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__dbl(0) -> 0 [1] a__dbl(s(X)) -> s(s(dbl(X))) [1] a__dbls(nil) -> nil [1] a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) [1] a__sel(0, cons(X, Y)) -> mark(X) [1] a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) [1] a__indx(nil, X) -> nil [1] a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) [1] a__from(X) -> cons(X, from(s(X))) [1] mark(dbl(dbl(X56))) -> a__dbl(a__dbl(mark(X56))) [2] mark(dbl(dbls(X57))) -> a__dbl(a__dbls(mark(X57))) [2] mark(dbl(sel(X131, X230))) -> a__dbl(a__sel(mark(X131), mark(X230))) [2] mark(dbl(indx(X132, X231))) -> a__dbl(a__indx(mark(X132), X231)) [2] mark(dbl(from(X58))) -> a__dbl(a__from(X58)) [2] mark(dbl(0)) -> a__dbl(0) [2] mark(dbl(s(X59))) -> a__dbl(s(X59)) [2] mark(dbl(nil)) -> a__dbl(nil) [2] mark(dbl(cons(X133, X232))) -> a__dbl(cons(X133, X232)) [2] mark(dbls(dbl(X60))) -> a__dbls(a__dbl(mark(X60))) [2] mark(dbls(dbls(X61))) -> a__dbls(a__dbls(mark(X61))) [2] mark(dbls(sel(X134, X233))) -> a__dbls(a__sel(mark(X134), mark(X233))) [2] mark(dbls(indx(X135, X234))) -> a__dbls(a__indx(mark(X135), X234)) [2] mark(dbls(from(X62))) -> a__dbls(a__from(X62)) [2] mark(dbls(0)) -> a__dbls(0) [2] mark(dbls(s(X63))) -> a__dbls(s(X63)) [2] mark(dbls(nil)) -> a__dbls(nil) [2] mark(dbls(cons(X136, X235))) -> a__dbls(cons(X136, X235)) [2] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(indx(dbl(X104), X2)) -> a__indx(a__dbl(mark(X104)), X2) [2] mark(indx(dbls(X105), X2)) -> a__indx(a__dbls(mark(X105)), X2) [2] mark(indx(sel(X167, X266), X2)) -> a__indx(a__sel(mark(X167), mark(X266)), X2) [2] mark(indx(indx(X168, X267), X2)) -> a__indx(a__indx(mark(X168), X267), X2) [2] mark(indx(from(X106), X2)) -> a__indx(a__from(X106), X2) [2] mark(indx(0, X2)) -> a__indx(0, X2) [2] mark(indx(s(X107), X2)) -> a__indx(s(X107), X2) [2] mark(indx(nil, X2)) -> a__indx(nil, X2) [2] mark(indx(cons(X169, X268), X2)) -> a__indx(cons(X169, X268), X2) [2] mark(from(X)) -> a__from(X) [1] mark(0) -> 0 [1] mark(s(X)) -> s(X) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(X1, X2) [1] a__dbl(X) -> dbl(X) [1] a__dbls(X) -> dbls(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__indx(X1, X2) -> indx(X1, X2) [1] a__from(X) -> from(X) [1] The TRS has the following type information: a__dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 0 :: 0:s:dbl:nil:cons:dbls:sel:indx:from s :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from nil :: 0:s:dbl:nil:cons:dbls:sel:indx:from cons :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from mark :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 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 nil => 1 ---------------------------------------- (26) Obligation: Complexity RNTS consisting of the following rules: a__dbl(z) -{ 1 }-> 0 :|: z = 0 a__dbl(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbl(z) -{ 1 }-> 1 + (1 + (1 + X)) :|: z = 1 + X, X >= 0 a__dbls(z) -{ 1 }-> 1 :|: z = 1 a__dbls(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbls(z) -{ 1 }-> 1 + (1 + X) + (1 + Y) :|: Y >= 0, z = 1 + X + Y, X >= 0 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + X + (1 + (1 + X)) :|: X >= 0, z = X a__indx(z, z') -{ 1 }-> 1 :|: z' = X, z = 1, X >= 0 a__indx(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__indx(z, z') -{ 1 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: Z >= 0, Y >= 0, z = 1 + X + Y, X >= 0, z' = Z a__sel(z, z') -{ 1 }-> mark(X) :|: Y >= 0, X >= 0, z' = 1 + X + Y, z = 0 a__sel(z, z') -{ 1 }-> a__sel(mark(X), mark(Z)) :|: Z >= 0, z = 1 + X, Y >= 0, X >= 0, z' = 1 + Y + Z a__sel(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__indx(a__sel(mark(X167), mark(X266)), X2) :|: z = 1 + (1 + X167 + X266) + X2, X167 >= 0, X266 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__indx(mark(X168), X267), X2) :|: X168 >= 0, X267 >= 0, z = 1 + (1 + X168 + X267) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__from(X106), X2) :|: X106 >= 0, z = 1 + (1 + X106) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbls(mark(X105)), X2) :|: X105 >= 0, z = 1 + (1 + X105) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbl(mark(X104)), X2) :|: X104 >= 0, z = 1 + (1 + X104) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(1, X2) :|: z = 1 + 1 + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(0, X2) :|: z = 1 + 0 + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(1 + X107, X2) :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(1 + X169 + X268, X2) :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0 mark(z) -{ 1 }-> a__from(X) :|: z = 1 + X, X >= 0 mark(z) -{ 2 }-> a__dbls(a__sel(mark(X134), mark(X233))) :|: z = 1 + (1 + X134 + X233), X134 >= 0, X233 >= 0 mark(z) -{ 2 }-> a__dbls(a__indx(mark(X135), X234)) :|: X234 >= 0, X135 >= 0, z = 1 + (1 + X135 + X234) mark(z) -{ 2 }-> a__dbls(a__from(X62)) :|: X62 >= 0, z = 1 + (1 + X62) mark(z) -{ 2 }-> a__dbls(a__dbls(mark(X61))) :|: X61 >= 0, z = 1 + (1 + X61) mark(z) -{ 2 }-> a__dbls(a__dbl(mark(X60))) :|: X60 >= 0, z = 1 + (1 + X60) mark(z) -{ 2 }-> a__dbls(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__dbls(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__dbls(1 + X63) :|: z = 1 + (1 + X63), X63 >= 0 mark(z) -{ 2 }-> a__dbls(1 + X136 + X235) :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235) mark(z) -{ 2 }-> a__dbl(a__sel(mark(X131), mark(X230))) :|: z = 1 + (1 + X131 + X230), X131 >= 0, X230 >= 0 mark(z) -{ 2 }-> a__dbl(a__indx(mark(X132), X231)) :|: z = 1 + (1 + X132 + X231), X231 >= 0, X132 >= 0 mark(z) -{ 2 }-> a__dbl(a__from(X58)) :|: z = 1 + (1 + X58), X58 >= 0 mark(z) -{ 2 }-> a__dbl(a__dbls(mark(X57))) :|: X57 >= 0, z = 1 + (1 + X57) mark(z) -{ 2 }-> a__dbl(a__dbl(mark(X56))) :|: X56 >= 0, z = 1 + (1 + X56) mark(z) -{ 2 }-> a__dbl(1) :|: z = 1 + 1 mark(z) -{ 2 }-> a__dbl(0) :|: z = 1 + 0 mark(z) -{ 2 }-> a__dbl(1 + X59) :|: z = 1 + (1 + X59), X59 >= 0 mark(z) -{ 2 }-> a__dbl(1 + X133 + X232) :|: X232 >= 0, z = 1 + (1 + X133 + X232), X133 >= 0 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + X :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + 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__dbl(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbl(z) -{ 1 }-> 1 + (1 + (1 + X)) :|: z = 1 + X, X >= 0 a__dbl(z) -{ 1 }-> 0 :|: z = 0 a__dbls(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbls(z) -{ 1 }-> 1 + (1 + X) + (1 + Y) :|: Y >= 0, z = 1 + X + Y, X >= 0 a__dbls(z) -{ 1 }-> 1 :|: z = 1 a__indx(z, z') -{ 1 }-> 1 :|: z' = X, z = 1, X >= 0 a__indx(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__indx(z, z') -{ 1 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: Z >= 0, Y >= 0, z = 1 + X + Y, X >= 0, z' = Z a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + X + (1 + (1 + X)) :|: X >= 0, z = X ---------------------------------------- (28) Obligation: Complexity RNTS consisting of the following rules: a__dbl(z) -{ 1 }-> 0 :|: z = 0 a__dbl(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbl(z) -{ 1 }-> 1 + (1 + (1 + X)) :|: z = 1 + X, X >= 0 a__dbls(z) -{ 1 }-> 1 :|: z = 1 a__dbls(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbls(z) -{ 1 }-> 1 + (1 + X) + (1 + Y) :|: Y >= 0, z = 1 + X + Y, X >= 0 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + X + (1 + (1 + X)) :|: X >= 0, z = X a__indx(z, z') -{ 1 }-> 1 :|: z' = X, z = 1, X >= 0 a__indx(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__indx(z, z') -{ 1 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: Z >= 0, Y >= 0, z = 1 + X + Y, X >= 0, z' = Z a__sel(z, z') -{ 1 }-> mark(X) :|: Y >= 0, X >= 0, z' = 1 + X + Y, z = 0 a__sel(z, z') -{ 1 }-> a__sel(mark(X), mark(Z)) :|: Z >= 0, z = 1 + X, Y >= 0, X >= 0, z' = 1 + Y + Z a__sel(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__indx(a__sel(mark(X167), mark(X266)), X2) :|: z = 1 + (1 + X167 + X266) + X2, X167 >= 0, X266 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__indx(mark(X168), X267), X2) :|: X168 >= 0, X267 >= 0, z = 1 + (1 + X168 + X267) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbls(mark(X105)), X2) :|: X105 >= 0, z = 1 + (1 + X105) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbl(mark(X104)), X2) :|: X104 >= 0, z = 1 + (1 + X104) + X2, X2 >= 0 mark(z) -{ 3 }-> a__indx(1 + X, X2) :|: X106 >= 0, z = 1 + (1 + X106) + X2, X2 >= 0, X >= 0, X106 = X mark(z) -{ 3 }-> a__indx(1 + X + (1 + (1 + X)), X2) :|: X106 >= 0, z = 1 + (1 + X106) + X2, X2 >= 0, X >= 0, X106 = X mark(z) -{ 2 }-> a__dbls(a__sel(mark(X134), mark(X233))) :|: z = 1 + (1 + X134 + X233), X134 >= 0, X233 >= 0 mark(z) -{ 2 }-> a__dbls(a__indx(mark(X135), X234)) :|: X234 >= 0, X135 >= 0, z = 1 + (1 + X135 + X234) mark(z) -{ 2 }-> a__dbls(a__dbls(mark(X61))) :|: X61 >= 0, z = 1 + (1 + X61) mark(z) -{ 2 }-> a__dbls(a__dbl(mark(X60))) :|: X60 >= 0, z = 1 + (1 + X60) mark(z) -{ 3 }-> a__dbls(1 + X) :|: X62 >= 0, z = 1 + (1 + X62), X >= 0, X62 = X mark(z) -{ 3 }-> a__dbls(1 + X + (1 + (1 + X))) :|: X62 >= 0, z = 1 + (1 + X62), X >= 0, X62 = X mark(z) -{ 2 }-> a__dbl(a__sel(mark(X131), mark(X230))) :|: z = 1 + (1 + X131 + X230), X131 >= 0, X230 >= 0 mark(z) -{ 2 }-> a__dbl(a__indx(mark(X132), X231)) :|: z = 1 + (1 + X132 + X231), X231 >= 0, X132 >= 0 mark(z) -{ 2 }-> a__dbl(a__dbls(mark(X57))) :|: X57 >= 0, z = 1 + (1 + X57) mark(z) -{ 2 }-> a__dbl(a__dbl(mark(X56))) :|: X56 >= 0, z = 1 + (1 + X56) mark(z) -{ 3 }-> a__dbl(1 + X) :|: z = 1 + (1 + X58), X58 >= 0, X >= 0, X58 = X mark(z) -{ 3 }-> a__dbl(1 + X + (1 + (1 + X))) :|: z = 1 + (1 + X58), X58 >= 0, X >= 0, X58 = X mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 3 }-> 1 :|: z = 1 + (1 + X63), X63 >= 0, 1 + X63 = 1 mark(z) -{ 3 }-> 1 :|: z = 1 + 1, 1 = 1 mark(z) -{ 3 }-> 1 :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), 1 + X136 + X235 = 1 mark(z) -{ 3 }-> 1 :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, X2 = X, 1 + X107 = 1, X >= 0 mark(z) -{ 3 }-> 1 :|: z = 1 + 1 + X2, X2 >= 0, X2 = X, 1 = 1, X >= 0 mark(z) -{ 3 }-> 1 :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, X2 = X, 1 + X169 + X268 = 1, X >= 0 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 3 }-> 0 :|: z = 1 + 0, 0 = 0 mark(z) -{ 1 }-> 1 + X :|: z = 1 + X, X >= 0 mark(z) -{ 3 }-> 1 + X :|: z = 1 + 0, X >= 0, 0 = X mark(z) -{ 3 }-> 1 + X :|: z = 1 + (1 + X59), X59 >= 0, X >= 0, 1 + X59 = X mark(z) -{ 3 }-> 1 + X :|: z = 1 + 1, X >= 0, 1 = X mark(z) -{ 3 }-> 1 + X :|: X232 >= 0, z = 1 + (1 + X133 + X232), X133 >= 0, X >= 0, 1 + X133 + X232 = X mark(z) -{ 3 }-> 1 + X :|: z = 1 + (1 + X63), X63 >= 0, X >= 0, 1 + X63 = X mark(z) -{ 3 }-> 1 + X :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), X >= 0, 1 + X136 + X235 = X mark(z) -{ 2 }-> 1 + X' :|: z = 1 + X, X >= 0, X' >= 0, X = X' mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: z = 1 + (1 + X59), X59 >= 0, 1 + X59 = 1 + X, X >= 0 mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: z = 1 + 1, 1 = 1 + X, X >= 0 mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: X232 >= 0, z = 1 + (1 + X133 + X232), X133 >= 0, 1 + X133 + X232 = 1 + X, X >= 0 mark(z) -{ 2 }-> 1 + X' + (1 + (1 + X')) :|: z = 1 + X, X >= 0, X' >= 0, X = X' mark(z) -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 3 }-> 1 + X1 + X2' :|: z = 1 + 0 + X2, X2 >= 0, X1 >= 0, X2' >= 0, 0 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, X1 >= 0, X2' >= 0, 1 + X107 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: z = 1 + 1 + X2, X2 >= 0, X1 >= 0, X2' >= 0, 1 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, X1 >= 0, X2' >= 0, 1 + X169 + X268 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: z = 1 + (1 + X63), X63 >= 0, Y >= 0, 1 + X63 = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: z = 1 + 1, Y >= 0, 1 = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), Y >= 0, 1 + X136 + X235 = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, Z >= 0, Y >= 0, 1 + X107 = 1 + X + Y, X >= 0, X2 = Z mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: z = 1 + 1 + X2, X2 >= 0, Z >= 0, Y >= 0, 1 = 1 + X + Y, X >= 0, X2 = Z mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, Z >= 0, Y >= 0, 1 + X169 + X268 = 1 + X + Y, X >= 0, X2 = Z ---------------------------------------- (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__dbl(z) -{ 1 }-> 0 :|: z = 0 a__dbl(z) -{ 1 }-> 1 + z :|: z >= 0 a__dbl(z) -{ 1 }-> 1 + (1 + (1 + (z - 1))) :|: z - 1 >= 0 a__dbls(z) -{ 1 }-> 1 :|: z = 1 a__dbls(z) -{ 1 }-> 1 + z :|: z >= 0 a__dbls(z) -{ 1 }-> 1 + (1 + X) + (1 + Y) :|: Y >= 0, z = 1 + X + Y, X >= 0 a__from(z) -{ 1 }-> 1 + z :|: z >= 0 a__from(z) -{ 1 }-> 1 + z + (1 + (1 + z)) :|: z >= 0 a__indx(z, z') -{ 1 }-> 1 :|: z = 1, z' >= 0 a__indx(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 a__indx(z, z') -{ 1 }-> 1 + (1 + X + z') + (1 + Y + z') :|: z' >= 0, Y >= 0, z = 1 + X + Y, X >= 0 a__sel(z, z') -{ 1 }-> mark(X) :|: Y >= 0, X >= 0, z' = 1 + X + Y, z = 0 a__sel(z, z') -{ 1 }-> a__sel(mark(z - 1), mark(Z)) :|: Z >= 0, Y >= 0, z - 1 >= 0, z' = 1 + Y + Z a__sel(z, z') -{ 1 }-> 1 + z + z' :|: z >= 0, z' >= 0 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 2 }-> a__indx(a__sel(mark(X167), mark(X266)), X2) :|: z = 1 + (1 + X167 + X266) + X2, X167 >= 0, X266 >= 0, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__indx(mark(X168), X267), X2) :|: X168 >= 0, X267 >= 0, z = 1 + (1 + X168 + X267) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbls(mark(X105)), X2) :|: X105 >= 0, z = 1 + (1 + X105) + X2, X2 >= 0 mark(z) -{ 2 }-> a__indx(a__dbl(mark(X104)), X2) :|: X104 >= 0, z = 1 + (1 + X104) + X2, X2 >= 0 mark(z) -{ 3 }-> a__indx(1 + X, X2) :|: X106 >= 0, z = 1 + (1 + X106) + X2, X2 >= 0, X >= 0, X106 = X mark(z) -{ 3 }-> a__indx(1 + X + (1 + (1 + X)), X2) :|: X106 >= 0, z = 1 + (1 + X106) + X2, X2 >= 0, X >= 0, X106 = X mark(z) -{ 2 }-> a__dbls(a__sel(mark(X134), mark(X233))) :|: z = 1 + (1 + X134 + X233), X134 >= 0, X233 >= 0 mark(z) -{ 2 }-> a__dbls(a__indx(mark(X135), X234)) :|: X234 >= 0, X135 >= 0, z = 1 + (1 + X135 + X234) mark(z) -{ 2 }-> a__dbls(a__dbls(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__dbls(a__dbl(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 3 }-> a__dbls(1 + X) :|: z - 2 >= 0, X >= 0, z - 2 = X mark(z) -{ 3 }-> a__dbls(1 + X + (1 + (1 + X))) :|: z - 2 >= 0, X >= 0, z - 2 = X mark(z) -{ 2 }-> a__dbl(a__sel(mark(X131), mark(X230))) :|: z = 1 + (1 + X131 + X230), X131 >= 0, X230 >= 0 mark(z) -{ 2 }-> a__dbl(a__indx(mark(X132), X231)) :|: z = 1 + (1 + X132 + X231), X231 >= 0, X132 >= 0 mark(z) -{ 2 }-> a__dbl(a__dbls(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 2 }-> a__dbl(a__dbl(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 3 }-> a__dbl(1 + X) :|: z - 2 >= 0, X >= 0, z - 2 = X mark(z) -{ 3 }-> a__dbl(1 + X + (1 + (1 + X))) :|: z - 2 >= 0, X >= 0, z - 2 = X mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 3 }-> 1 :|: z - 2 >= 0, 1 + (z - 2) = 1 mark(z) -{ 3 }-> 1 :|: z = 1 + 1, 1 = 1 mark(z) -{ 3 }-> 1 :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), 1 + X136 + X235 = 1 mark(z) -{ 3 }-> 1 :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, X2 = X, 1 + X107 = 1, X >= 0 mark(z) -{ 3 }-> 1 :|: z - 2 >= 0, z - 2 = X, 1 = 1, X >= 0 mark(z) -{ 3 }-> 1 :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, X2 = X, 1 + X169 + X268 = 1, X >= 0 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 3 }-> 0 :|: z = 1 + 0, 0 = 0 mark(z) -{ 3 }-> 1 + X :|: z = 1 + 0, X >= 0, 0 = X mark(z) -{ 3 }-> 1 + X :|: z - 2 >= 0, X >= 0, 1 + (z - 2) = X mark(z) -{ 3 }-> 1 + X :|: z = 1 + 1, X >= 0, 1 = X mark(z) -{ 3 }-> 1 + X :|: X232 >= 0, z = 1 + (1 + X133 + X232), X133 >= 0, X >= 0, 1 + X133 + X232 = X mark(z) -{ 3 }-> 1 + X :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), X >= 0, 1 + X136 + X235 = X mark(z) -{ 2 }-> 1 + X' :|: z - 1 >= 0, X' >= 0, z - 1 = X' mark(z) -{ 1 }-> 1 + (z - 1) :|: z - 1 >= 0 mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: z - 2 >= 0, 1 + (z - 2) = 1 + X, X >= 0 mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: z = 1 + 1, 1 = 1 + X, X >= 0 mark(z) -{ 3 }-> 1 + (1 + (1 + X)) :|: X232 >= 0, z = 1 + (1 + X133 + X232), X133 >= 0, 1 + X133 + X232 = 1 + X, X >= 0 mark(z) -{ 2 }-> 1 + X' + (1 + (1 + X')) :|: z - 1 >= 0, X' >= 0, z - 1 = X' mark(z) -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 3 }-> 1 + X1 + X2' :|: z - 1 >= 0, X1 >= 0, X2' >= 0, 0 = X1, z - 1 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, X1 >= 0, X2' >= 0, 1 + X107 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: z - 2 >= 0, X1 >= 0, X2' >= 0, 1 = X1, z - 2 = X2' mark(z) -{ 3 }-> 1 + X1 + X2' :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, X1 >= 0, X2' >= 0, 1 + X169 + X268 = X1, X2 = X2' mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: z - 2 >= 0, Y >= 0, 1 + (z - 2) = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: z = 1 + 1, Y >= 0, 1 = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X) + (1 + Y) :|: X136 >= 0, X235 >= 0, z = 1 + (1 + X136 + X235), Y >= 0, 1 + X136 + X235 = 1 + X + Y, X >= 0 mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: X107 >= 0, z = 1 + (1 + X107) + X2, X2 >= 0, Z >= 0, Y >= 0, 1 + X107 = 1 + X + Y, X >= 0, X2 = Z mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: z - 2 >= 0, Z >= 0, Y >= 0, 1 = 1 + X + Y, X >= 0, z - 2 = Z mark(z) -{ 3 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: z = 1 + (1 + X169 + X268) + X2, X169 >= 0, X268 >= 0, X2 >= 0, Z >= 0, Y >= 0, 1 + X169 + X268 = 1 + X + Y, X >= 0, X2 = Z ---------------------------------------- (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__dbl(0) -> 0 [1] a__dbl(s(X)) -> s(s(dbl(X))) [1] a__dbls(nil) -> nil [1] a__dbls(cons(X, Y)) -> cons(dbl(X), dbls(Y)) [1] a__sel(0, cons(X, Y)) -> mark(X) [1] a__sel(s(X), cons(Y, Z)) -> a__sel(mark(X), mark(Z)) [1] a__indx(nil, X) -> nil [1] a__indx(cons(X, Y), Z) -> cons(sel(X, Z), indx(Y, Z)) [1] a__from(X) -> cons(X, from(s(X))) [1] mark(dbl(X)) -> a__dbl(mark(X)) [1] mark(dbls(X)) -> a__dbls(mark(X)) [1] mark(sel(X1, X2)) -> a__sel(mark(X1), mark(X2)) [1] mark(indx(X1, X2)) -> a__indx(mark(X1), X2) [1] mark(from(X)) -> a__from(X) [1] mark(0) -> 0 [1] mark(s(X)) -> s(X) [1] mark(nil) -> nil [1] mark(cons(X1, X2)) -> cons(X1, X2) [1] a__dbl(X) -> dbl(X) [1] a__dbls(X) -> dbls(X) [1] a__sel(X1, X2) -> sel(X1, X2) [1] a__indx(X1, X2) -> indx(X1, X2) [1] a__from(X) -> from(X) [1] The TRS has the following type information: a__dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 0 :: 0:s:dbl:nil:cons:dbls:sel:indx:from s :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbl :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from nil :: 0:s:dbl:nil:cons:dbls:sel:indx:from cons :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from dbls :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from mark :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from sel :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from indx :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from a__from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from from :: 0:s:dbl:nil:cons:dbls:sel:indx:from -> 0:s:dbl:nil:cons:dbls:sel:indx:from 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 nil => 1 ---------------------------------------- (34) Obligation: Complexity RNTS consisting of the following rules: a__dbl(z) -{ 1 }-> 0 :|: z = 0 a__dbl(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbl(z) -{ 1 }-> 1 + (1 + (1 + X)) :|: z = 1 + X, X >= 0 a__dbls(z) -{ 1 }-> 1 :|: z = 1 a__dbls(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__dbls(z) -{ 1 }-> 1 + (1 + X) + (1 + Y) :|: Y >= 0, z = 1 + X + Y, X >= 0 a__from(z) -{ 1 }-> 1 + X :|: X >= 0, z = X a__from(z) -{ 1 }-> 1 + X + (1 + (1 + X)) :|: X >= 0, z = X a__indx(z, z') -{ 1 }-> 1 :|: z' = X, z = 1, X >= 0 a__indx(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 a__indx(z, z') -{ 1 }-> 1 + (1 + X + Z) + (1 + Y + Z) :|: Z >= 0, Y >= 0, z = 1 + X + Y, X >= 0, z' = Z a__sel(z, z') -{ 1 }-> mark(X) :|: Y >= 0, X >= 0, z' = 1 + X + Y, z = 0 a__sel(z, z') -{ 1 }-> a__sel(mark(X), mark(Z)) :|: Z >= 0, z = 1 + X, Y >= 0, X >= 0, z' = 1 + Y + Z a__sel(z, z') -{ 1 }-> 1 + X1 + X2 :|: X1 >= 0, X2 >= 0, z = X1, z' = X2 mark(z) -{ 1 }-> a__sel(mark(X1), mark(X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__indx(mark(X1), X2) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2 mark(z) -{ 1 }-> a__from(X) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__dbls(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> a__dbl(mark(X)) :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 :|: z = 1 mark(z) -{ 1 }-> 0 :|: z = 0 mark(z) -{ 1 }-> 1 + X :|: z = 1 + X, X >= 0 mark(z) -{ 1 }-> 1 + 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__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 S tuples: A__DBL(0) -> c A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__DBLS(nil) -> c3 A__DBLS(cons(z0, z1)) -> c4 A__DBLS(z0) -> c5 A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) A__SEL(z0, z1) -> c9 A__INDX(nil, z0) -> c10 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(z0, z1) -> c12 A__FROM(z0) -> c13 A__FROM(z0) -> c14 MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) MARK(from(z0)) -> c20(A__FROM(z0)) MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__DBL_1, A__DBLS_1, A__SEL_2, A__INDX_2, A__FROM_1, MARK_1 Compound Symbols: c, c1, c2, c3, c4, c5, c6_1, c7_2, c8_2, c9, c10, c11, c12, c13, c14, c15_2, c16_2, c17_2, c18_2, c19_2, c20_1, c21, c22, c23, c24 ---------------------------------------- (37) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 17 trailing nodes: MARK(from(z0)) -> c20(A__FROM(z0)) A__FROM(z0) -> c13 A__FROM(z0) -> c14 A__DBLS(nil) -> c3 A__DBL(z0) -> c2 A__DBLS(cons(z0, z1)) -> c4 A__DBL(0) -> c A__DBLS(z0) -> c5 A__DBL(s(z0)) -> c1 MARK(s(z0)) -> c22 A__INDX(cons(z0, z1), z2) -> c11 A__INDX(nil, z0) -> c10 MARK(nil) -> c23 MARK(cons(z0, z1)) -> c24 A__SEL(z0, z1) -> c9 A__INDX(z0, z1) -> c12 MARK(0) -> c21 ---------------------------------------- (38) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(dbl(z0)) -> c15(A__DBL(mark(z0)), MARK(z0)) MARK(dbls(z0)) -> c16(A__DBLS(mark(z0)), MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(indx(z0, z1)) -> c19(A__INDX(mark(z0), z1), MARK(z0)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c7_2, c8_2, c15_2, c16_2, c17_2, c18_2, c19_2 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (40) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c7_2, c8_2, c17_2, c18_2, c15_1, c16_1, c19_1 ---------------------------------------- (41) CdtToCpxRelTrsProof (BOTH BOUNDS(ID, ID)) Converted S to standard rules, and D \ S as well as R to relative rules. ---------------------------------------- (42) 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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) The (relative) TRS S consists of the following rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Rewrite Strategy: INNERMOST ---------------------------------------- (43) RelTrsToTrsProof (UPPER BOUND(ID)) transformed relative TRS to TRS ---------------------------------------- (44) 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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) S is empty. Rewrite Strategy: INNERMOST ---------------------------------------- (45) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (46) 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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(dbl(z0)) -> c15(MARK(z0)) [1] MARK(dbls(z0)) -> c16(MARK(z0)) [1] MARK(indx(z0, z1)) -> c19(MARK(z0)) [1] a__dbl(0) -> 0 [0] a__dbl(s(z0)) -> s(s(dbl(z0))) [0] a__dbl(z0) -> dbl(z0) [0] a__dbls(nil) -> nil [0] a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) [0] a__dbls(z0) -> dbls(z0) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] a__indx(nil, z0) -> nil [0] a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) [0] a__indx(z0, z1) -> indx(z0, z1) [0] a__from(z0) -> cons(z0, from(s(z0))) [0] a__from(z0) -> from(z0) [0] mark(dbl(z0)) -> a__dbl(mark(z0)) [0] mark(dbls(z0)) -> a__dbls(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(indx(z0, z1)) -> a__indx(mark(z0), z1) [0] mark(from(z0)) -> a__from(z0) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(z0) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(z0, z1) [0] Rewrite Strategy: INNERMOST ---------------------------------------- (47) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (48) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(dbl(z0)) -> c15(MARK(z0)) [1] MARK(dbls(z0)) -> c16(MARK(z0)) [1] MARK(indx(z0, z1)) -> c19(MARK(z0)) [1] a__dbl(0) -> 0 [0] a__dbl(s(z0)) -> s(s(dbl(z0))) [0] a__dbl(z0) -> dbl(z0) [0] a__dbls(nil) -> nil [0] a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) [0] a__dbls(z0) -> dbls(z0) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] a__indx(nil, z0) -> nil [0] a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) [0] a__indx(z0, z1) -> indx(z0, z1) [0] a__from(z0) -> cons(z0, from(s(z0))) [0] a__from(z0) -> from(z0) [0] mark(dbl(z0)) -> a__dbl(mark(z0)) [0] mark(dbls(z0)) -> a__dbls(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(indx(z0, z1)) -> a__indx(mark(z0), z1) [0] mark(from(z0)) -> a__from(z0) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(z0) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(z0, z1) [0] The TRS has the following type information: A__SEL :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> c6:c7:c8 0 :: 0:cons:s:sel:dbl:dbls:indx:nil:from cons :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c6 :: c17:c18:c15:c16:c19 -> c6:c7:c8 MARK :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> c17:c18:c15:c16:c19 s :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c7 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c8 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c17 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 c18 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c15 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c16 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from c19 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from nil :: 0:cons:s:sel:dbl:dbls:indx:nil:from a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from from :: 0:cons:s:sel:dbl:dbls:indx:nil:from -> 0:cons:s:sel:dbl:dbls:indx:nil:from Rewrite Strategy: INNERMOST ---------------------------------------- (49) 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__SEL_2 MARK_1 (c) The following functions are completely defined: a__dbl_1 a__dbls_1 a__sel_2 a__indx_2 a__from_1 mark_1 Due to the following rules being added: a__dbl(v0) -> null_a__dbl [0] a__dbls(v0) -> null_a__dbls [0] a__sel(v0, v1) -> null_a__sel [0] a__indx(v0, v1) -> null_a__indx [0] a__from(v0) -> null_a__from [0] mark(v0) -> null_mark [0] And the following fresh constants: null_a__dbl, null_a__dbls, null_a__sel, null_a__indx, null_a__from, null_mark, const, const1 ---------------------------------------- (50) 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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(dbl(z0)) -> c15(MARK(z0)) [1] MARK(dbls(z0)) -> c16(MARK(z0)) [1] MARK(indx(z0, z1)) -> c19(MARK(z0)) [1] a__dbl(0) -> 0 [0] a__dbl(s(z0)) -> s(s(dbl(z0))) [0] a__dbl(z0) -> dbl(z0) [0] a__dbls(nil) -> nil [0] a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) [0] a__dbls(z0) -> dbls(z0) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] a__indx(nil, z0) -> nil [0] a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) [0] a__indx(z0, z1) -> indx(z0, z1) [0] a__from(z0) -> cons(z0, from(s(z0))) [0] a__from(z0) -> from(z0) [0] mark(dbl(z0)) -> a__dbl(mark(z0)) [0] mark(dbls(z0)) -> a__dbls(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(indx(z0, z1)) -> a__indx(mark(z0), z1) [0] mark(from(z0)) -> a__from(z0) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(z0) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(z0, z1) [0] a__dbl(v0) -> null_a__dbl [0] a__dbls(v0) -> null_a__dbls [0] a__sel(v0, v1) -> null_a__sel [0] a__indx(v0, v1) -> null_a__indx [0] a__from(v0) -> null_a__from [0] mark(v0) -> null_mark [0] The TRS has the following type information: A__SEL :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c6:c7:c8 0 :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark cons :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c6 :: c17:c18:c15:c16:c19 -> c6:c7:c8 MARK :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c17:c18:c15:c16:c19 s :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c7 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c8 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c17 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 c18 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c15 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c16 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c19 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark nil :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark const :: c6:c7:c8 const1 :: c17:c18:c15:c16:c19 Rewrite Strategy: INNERMOST ---------------------------------------- (51) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(dbl(z0)) -> c15(MARK(z0)) [1] MARK(dbls(z0)) -> c16(MARK(z0)) [1] MARK(indx(z0, z1)) -> c19(MARK(z0)) [1] a__dbl(0) -> 0 [0] a__dbl(s(z0)) -> s(s(dbl(z0))) [0] a__dbl(z0) -> dbl(z0) [0] a__dbls(nil) -> nil [0] a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) [0] a__dbls(z0) -> dbls(z0) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] a__indx(nil, z0) -> nil [0] a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) [0] a__indx(z0, z1) -> indx(z0, z1) [0] a__from(z0) -> cons(z0, from(s(z0))) [0] a__from(z0) -> from(z0) [0] mark(dbl(dbl(z0384))) -> a__dbl(a__dbl(mark(z0384))) [0] mark(dbl(dbls(z0385))) -> a__dbl(a__dbls(mark(z0385))) [0] mark(dbl(sel(z0386, z1164))) -> a__dbl(a__sel(mark(z0386), mark(z1164))) [0] mark(dbl(indx(z0387, z1165))) -> a__dbl(a__indx(mark(z0387), z1165)) [0] mark(dbl(from(z0388))) -> a__dbl(a__from(z0388)) [0] mark(dbl(0)) -> a__dbl(0) [0] mark(dbl(s(z0389))) -> a__dbl(s(z0389)) [0] mark(dbl(nil)) -> a__dbl(nil) [0] mark(dbl(cons(z0390, z1166))) -> a__dbl(cons(z0390, z1166)) [0] mark(dbl(z0)) -> a__dbl(null_mark) [0] mark(dbls(dbl(z0391))) -> a__dbls(a__dbl(mark(z0391))) [0] mark(dbls(dbls(z0392))) -> a__dbls(a__dbls(mark(z0392))) [0] mark(dbls(sel(z0393, z1167))) -> a__dbls(a__sel(mark(z0393), mark(z1167))) [0] mark(dbls(indx(z0394, z1168))) -> a__dbls(a__indx(mark(z0394), z1168)) [0] mark(dbls(from(z0395))) -> a__dbls(a__from(z0395)) [0] mark(dbls(0)) -> a__dbls(0) [0] mark(dbls(s(z0396))) -> a__dbls(s(z0396)) [0] mark(dbls(nil)) -> a__dbls(nil) [0] mark(dbls(cons(z0397, z1169))) -> a__dbls(cons(z0397, z1169)) [0] mark(dbls(z0)) -> a__dbls(null_mark) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(indx(dbl(z0475), z1)) -> a__indx(a__dbl(mark(z0475)), z1) [0] mark(indx(dbls(z0476), z1)) -> a__indx(a__dbls(mark(z0476)), z1) [0] mark(indx(sel(z0477, z1203), z1)) -> a__indx(a__sel(mark(z0477), mark(z1203)), z1) [0] mark(indx(indx(z0478, z1204), z1)) -> a__indx(a__indx(mark(z0478), z1204), z1) [0] mark(indx(from(z0479), z1)) -> a__indx(a__from(z0479), z1) [0] mark(indx(0, z1)) -> a__indx(0, z1) [0] mark(indx(s(z0480), z1)) -> a__indx(s(z0480), z1) [0] mark(indx(nil, z1)) -> a__indx(nil, z1) [0] mark(indx(cons(z0481, z1205), z1)) -> a__indx(cons(z0481, z1205), z1) [0] mark(indx(z0, z1)) -> a__indx(null_mark, z1) [0] mark(from(z0)) -> a__from(z0) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(z0) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(z0, z1) [0] a__dbl(v0) -> null_a__dbl [0] a__dbls(v0) -> null_a__dbls [0] a__sel(v0, v1) -> null_a__sel [0] a__indx(v0, v1) -> null_a__indx [0] a__from(v0) -> null_a__from [0] mark(v0) -> null_mark [0] The TRS has the following type information: A__SEL :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c6:c7:c8 0 :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark cons :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c6 :: c17:c18:c15:c16:c19 -> c6:c7:c8 MARK :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c17:c18:c15:c16:c19 s :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c7 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c8 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c6:c7:c8 sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c17 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 c18 :: c6:c7:c8 -> c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c15 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c16 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c19 :: c17:c18:c15:c16:c19 -> c17:c18:c15:c16:c19 a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark nil :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark const :: c6:c7:c8 const1 :: c17:c18:c15:c16:c19 Rewrite Strategy: INNERMOST ---------------------------------------- (53) 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 nil => 1 null_a__dbl => 0 null_a__dbls => 0 null_a__sel => 0 null_a__indx => 0 null_a__from => 0 null_mark => 0 const => 0 const1 => 0 ---------------------------------------- (54) Obligation: Complexity RNTS consisting of the following rules: A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__dbl(z) -{ 0 }-> 0 :|: z = 0 a__dbl(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbl(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbl(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 :|: z = 1 a__dbls(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbls(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + z0 + (1 + (1 + z0)) :|: z = z0, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 :|: z = 1, z0 >= 0, z' = z0 a__indx(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__indx(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1 + z2) :|: z1 >= 0, z' = z2, z0 >= 0, z = 1 + z0 + z1, z2 >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__sel(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__indx(a__sel(mark(z0477), mark(z1203)), z1) :|: z1 >= 0, z1203 >= 0, z0477 >= 0, z = 1 + (1 + z0477 + z1203) + z1 mark(z) -{ 0 }-> a__indx(a__indx(mark(z0478), z1204), z1) :|: z = 1 + (1 + z0478 + z1204) + z1, z0478 >= 0, z1 >= 0, z1204 >= 0 mark(z) -{ 0 }-> a__indx(a__from(z0479), z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0 mark(z) -{ 0 }-> a__indx(a__dbls(mark(z0476)), z1) :|: z1 >= 0, z0476 >= 0, z = 1 + (1 + z0476) + z1 mark(z) -{ 0 }-> a__indx(a__dbl(mark(z0475)), z1) :|: z0475 >= 0, z1 >= 0, z = 1 + (1 + z0475) + z1 mark(z) -{ 0 }-> a__indx(1, z1) :|: z1 >= 0, z = 1 + 1 + z1 mark(z) -{ 0 }-> a__indx(0, z1) :|: z1 >= 0, z = 1 + 0 + z1 mark(z) -{ 0 }-> a__indx(0, z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__indx(1 + z0480, z1) :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1 mark(z) -{ 0 }-> a__indx(1 + z0481 + z1205, z1) :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1 mark(z) -{ 0 }-> a__from(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(a__sel(mark(z0393), mark(z1167))) :|: z1167 >= 0, z = 1 + (1 + z0393 + z1167), z0393 >= 0 mark(z) -{ 0 }-> a__dbls(a__indx(mark(z0394), z1168)) :|: z = 1 + (1 + z0394 + z1168), z0394 >= 0, z1168 >= 0 mark(z) -{ 0 }-> a__dbls(a__from(z0395)) :|: z = 1 + (1 + z0395), z0395 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbls(mark(z0392))) :|: z = 1 + (1 + z0392), z0392 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbl(mark(z0391))) :|: z = 1 + (1 + z0391), z0391 >= 0 mark(z) -{ 0 }-> a__dbls(1) :|: z = 1 + 1 mark(z) -{ 0 }-> a__dbls(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__dbls(0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(1 + z0396) :|: z = 1 + (1 + z0396), z0396 >= 0 mark(z) -{ 0 }-> a__dbls(1 + z0397 + z1169) :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0 mark(z) -{ 0 }-> a__dbl(a__sel(mark(z0386), mark(z1164))) :|: z0386 >= 0, z = 1 + (1 + z0386 + z1164), z1164 >= 0 mark(z) -{ 0 }-> a__dbl(a__indx(mark(z0387), z1165)) :|: z = 1 + (1 + z0387 + z1165), z1165 >= 0, z0387 >= 0 mark(z) -{ 0 }-> a__dbl(a__from(z0388)) :|: z = 1 + (1 + z0388), z0388 >= 0 mark(z) -{ 0 }-> a__dbl(a__dbls(mark(z0385))) :|: z0385 >= 0, z = 1 + (1 + z0385) mark(z) -{ 0 }-> a__dbl(a__dbl(mark(z0384))) :|: z0384 >= 0, z = 1 + (1 + z0384) mark(z) -{ 0 }-> a__dbl(1) :|: z = 1 + 1 mark(z) -{ 0 }-> a__dbl(0) :|: z = 1 + 0 mark(z) -{ 0 }-> a__dbl(0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(1 + z0389) :|: z = 1 + (1 + z0389), z0389 >= 0 mark(z) -{ 0 }-> a__dbl(1 + z0390 + z1166) :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166) mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 ---------------------------------------- (55) InliningProof (UPPER BOUND(ID)) Inlined the following terminating rules on right-hand sides where appropriate: a__dbl(z) -{ 0 }-> 0 :|: z = 0 a__dbl(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbl(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbl(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + z0, z0 >= 0 a__dbls(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbls(z) -{ 0 }-> 1 :|: z = 1 a__dbls(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__indx(z, z') -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1 + z2) :|: z1 >= 0, z' = z2, z0 >= 0, z = 1 + z0 + z1, z2 >= 0 a__indx(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 :|: z = 1, z0 >= 0, z' = z0 a__indx(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__from(z) -{ 0 }-> 1 + z0 + (1 + (1 + z0)) :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 ---------------------------------------- (56) Obligation: Complexity RNTS consisting of the following rules: A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__dbl(z) -{ 0 }-> 0 :|: z = 0 a__dbl(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbl(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbl(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 :|: z = 1 a__dbls(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbls(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + z0 + (1 + (1 + z0)) :|: z = z0, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 :|: z = 1, z0 >= 0, z' = z0 a__indx(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__indx(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1 + z2) :|: z1 >= 0, z' = z2, z0 >= 0, z = 1 + z0 + z1, z2 >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__sel(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__indx(a__sel(mark(z0477), mark(z1203)), z1) :|: z1 >= 0, z1203 >= 0, z0477 >= 0, z = 1 + (1 + z0477 + z1203) + z1 mark(z) -{ 0 }-> a__indx(a__indx(mark(z0478), z1204), z1) :|: z = 1 + (1 + z0478 + z1204) + z1, z0478 >= 0, z1 >= 0, z1204 >= 0 mark(z) -{ 0 }-> a__indx(a__dbls(mark(z0476)), z1) :|: z1 >= 0, z0476 >= 0, z = 1 + (1 + z0476) + z1 mark(z) -{ 0 }-> a__indx(a__dbl(mark(z0475)), z1) :|: z0475 >= 0, z1 >= 0, z = 1 + (1 + z0475) + z1 mark(z) -{ 0 }-> a__indx(0, z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, v0 >= 0, z0479 = v0 mark(z) -{ 0 }-> a__indx(1 + z0, z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, z0479 = z0, z0 >= 0 mark(z) -{ 0 }-> a__indx(1 + z0 + (1 + (1 + z0)), z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, z0479 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(a__sel(mark(z0393), mark(z1167))) :|: z1167 >= 0, z = 1 + (1 + z0393 + z1167), z0393 >= 0 mark(z) -{ 0 }-> a__dbls(a__indx(mark(z0394), z1168)) :|: z = 1 + (1 + z0394 + z1168), z0394 >= 0, z1168 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbls(mark(z0392))) :|: z = 1 + (1 + z0392), z0392 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbl(mark(z0391))) :|: z = 1 + (1 + z0391), z0391 >= 0 mark(z) -{ 0 }-> a__dbls(0) :|: z = 1 + (1 + z0395), z0395 >= 0, v0 >= 0, z0395 = v0 mark(z) -{ 0 }-> a__dbls(1 + z0) :|: z = 1 + (1 + z0395), z0395 >= 0, z0395 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(1 + z0 + (1 + (1 + z0))) :|: z = 1 + (1 + z0395), z0395 >= 0, z0395 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(a__sel(mark(z0386), mark(z1164))) :|: z0386 >= 0, z = 1 + (1 + z0386 + z1164), z1164 >= 0 mark(z) -{ 0 }-> a__dbl(a__indx(mark(z0387), z1165)) :|: z = 1 + (1 + z0387 + z1165), z1165 >= 0, z0387 >= 0 mark(z) -{ 0 }-> a__dbl(a__dbls(mark(z0385))) :|: z0385 >= 0, z = 1 + (1 + z0385) mark(z) -{ 0 }-> a__dbl(a__dbl(mark(z0384))) :|: z0384 >= 0, z = 1 + (1 + z0384) mark(z) -{ 0 }-> a__dbl(0) :|: z = 1 + (1 + z0388), z0388 >= 0, v0 >= 0, z0388 = v0 mark(z) -{ 0 }-> a__dbl(1 + z0) :|: z = 1 + (1 + z0388), z0388 >= 0, z0388 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(1 + z0 + (1 + (1 + z0))) :|: z = 1 + (1 + z0388), z0388 >= 0, z0388 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 1 :|: z = 1 + (1 + z0396), z0396 >= 0, 1 + z0396 = 1 mark(z) -{ 0 }-> 1 :|: z = 1 + 1, 1 = 1 mark(z) -{ 0 }-> 1 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, 1 + z0397 + z1169 = 1 mark(z) -{ 0 }-> 1 :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, 1 + z0480 = 1, z0 >= 0, z1 = z0 mark(z) -{ 0 }-> 1 :|: z1 >= 0, z = 1 + 1 + z1, 1 = 1, z0 >= 0, z1 = z0 mark(z) -{ 0 }-> 1 :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, 1 + z0481 + z1205 = 1, z0 >= 0, z1 = z0 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + 0, 0 = 0 mark(z) -{ 0 }-> 0 :|: z = 1 + 0, v0 >= 0, 0 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + (1 + z0389), z0389 >= 0, v0 >= 0, 1 + z0389 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + 1, v0 >= 0, 1 = v0 mark(z) -{ 0 }-> 0 :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), v0 >= 0, 1 + z0390 + z1166 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + z0, z0 >= 0, 0 = 0 mark(z) -{ 0 }-> 0 :|: z = 1 + z0, z0 >= 0, v0 >= 0, 0 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + (1 + z0396), z0396 >= 0, v0 >= 0, 1 + z0396 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, v0 >= 0, 1 + z0397 + z1169 = v0 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z = 1 + 0 + z1, v0 >= 0, v1 >= 0, 0 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, v0 >= 0, v1 >= 0, 1 + z0480 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z = 1 + 1 + z1, v0 >= 0, v1 >= 0, 1 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, v0 >= 0, v1 >= 0, 1 + z0481 + z1205 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1, v0 >= 0, v1 >= 0, 0 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z = 1 + z0, z0 >= 0, v0 >= 0, z0 = v0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + 0, 0 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + (1 + z0389), z0389 >= 0, 1 + z0389 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + 1, 1 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), 1 + z0390 + z1166 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + (1 + z0396), z0396 >= 0, 1 + z0396 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, 1 + z0397 + z1169 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0' :|: z = 1 + z0, z0 >= 0, 0 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + z0' :|: z = 1 + z0, z0 >= 0, z0 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + (1 + z0389), z0389 >= 0, 1 + z0389 = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + 1, 1 = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), 1 + z0390 + z1166 = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z1 >= 0, z = 1 + 0 + z1, 0 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, 1 + z0480 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z1 >= 0, z = 1 + 1 + z1, 1 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, 1 + z0481 + z1205 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0' + z1' :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1, 0 = z0', z1' >= 0, z1 = z1', z0' >= 0 mark(z) -{ 0 }-> 1 + z0' + (1 + (1 + z0')) :|: z = 1 + z0, z0 >= 0, z0 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z = 1 + (1 + z0396), z0396 >= 0, z1 >= 0, z0 >= 0, 1 + z0396 = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z = 1 + 1, z1 >= 0, z0 >= 0, 1 = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, z1 >= 0, z0 >= 0, 1 + z0397 + z1169 = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, z1' >= 0, z1 = z2, z0 >= 0, 1 + z0480 = 1 + z0 + z1', z2 >= 0 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z1 >= 0, z = 1 + 1 + z1, z1' >= 0, z1 = z2, z0 >= 0, 1 = 1 + z0 + z1', z2 >= 0 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, z1' >= 0, z1 = z2, z0 >= 0, 1 + z0481 + z1205 = 1 + z0 + z1', z2 >= 0 ---------------------------------------- (57) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (58) Obligation: Complexity RNTS consisting of the following rules: A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z - 1), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z - 1), mark(z2)) + MARK(z - 1) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 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__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__dbl(z) -{ 0 }-> 0 :|: z = 0 a__dbl(z) -{ 0 }-> 0 :|: z >= 0 a__dbl(z) -{ 0 }-> 1 + z :|: z >= 0 a__dbl(z) -{ 0 }-> 1 + (1 + (1 + (z - 1))) :|: z - 1 >= 0 a__dbls(z) -{ 0 }-> 1 :|: z = 1 a__dbls(z) -{ 0 }-> 0 :|: z >= 0 a__dbls(z) -{ 0 }-> 1 + z :|: z >= 0 a__dbls(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__from(z) -{ 0 }-> 0 :|: z >= 0 a__from(z) -{ 0 }-> 1 + z :|: z >= 0 a__from(z) -{ 0 }-> 1 + z + (1 + (1 + z)) :|: z >= 0 a__indx(z, z') -{ 0 }-> 1 :|: z = 1, z' >= 0 a__indx(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__indx(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 a__indx(z, z') -{ 0 }-> 1 + (1 + z0 + z') + (1 + z1 + z') :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1, z' >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z - 1), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z - 1 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0 a__sel(z, z') -{ 0 }-> 1 + z + z' :|: z' >= 0, z >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__indx(a__sel(mark(z0477), mark(z1203)), z1) :|: z1 >= 0, z1203 >= 0, z0477 >= 0, z = 1 + (1 + z0477 + z1203) + z1 mark(z) -{ 0 }-> a__indx(a__indx(mark(z0478), z1204), z1) :|: z = 1 + (1 + z0478 + z1204) + z1, z0478 >= 0, z1 >= 0, z1204 >= 0 mark(z) -{ 0 }-> a__indx(a__dbls(mark(z0476)), z1) :|: z1 >= 0, z0476 >= 0, z = 1 + (1 + z0476) + z1 mark(z) -{ 0 }-> a__indx(a__dbl(mark(z0475)), z1) :|: z0475 >= 0, z1 >= 0, z = 1 + (1 + z0475) + z1 mark(z) -{ 0 }-> a__indx(0, z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, v0 >= 0, z0479 = v0 mark(z) -{ 0 }-> a__indx(1 + z0, z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, z0479 = z0, z0 >= 0 mark(z) -{ 0 }-> a__indx(1 + z0 + (1 + (1 + z0)), z1) :|: z1 >= 0, z = 1 + (1 + z0479) + z1, z0479 >= 0, z0479 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(a__sel(mark(z0393), mark(z1167))) :|: z1167 >= 0, z = 1 + (1 + z0393 + z1167), z0393 >= 0 mark(z) -{ 0 }-> a__dbls(a__indx(mark(z0394), z1168)) :|: z = 1 + (1 + z0394 + z1168), z0394 >= 0, z1168 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbls(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__dbls(a__dbl(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__dbls(0) :|: z - 2 >= 0, v0 >= 0, z - 2 = v0 mark(z) -{ 0 }-> a__dbls(1 + z0) :|: z - 2 >= 0, z - 2 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(1 + z0 + (1 + (1 + z0))) :|: z - 2 >= 0, z - 2 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(a__sel(mark(z0386), mark(z1164))) :|: z0386 >= 0, z = 1 + (1 + z0386 + z1164), z1164 >= 0 mark(z) -{ 0 }-> a__dbl(a__indx(mark(z0387), z1165)) :|: z = 1 + (1 + z0387 + z1165), z1165 >= 0, z0387 >= 0 mark(z) -{ 0 }-> a__dbl(a__dbls(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__dbl(a__dbl(mark(z - 2))) :|: z - 2 >= 0 mark(z) -{ 0 }-> a__dbl(0) :|: z - 2 >= 0, v0 >= 0, z - 2 = v0 mark(z) -{ 0 }-> a__dbl(1 + z0) :|: z - 2 >= 0, z - 2 = z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(1 + z0 + (1 + (1 + z0))) :|: z - 2 >= 0, z - 2 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 1 :|: z - 2 >= 0, 1 + (z - 2) = 1 mark(z) -{ 0 }-> 1 :|: z = 1 + 1, 1 = 1 mark(z) -{ 0 }-> 1 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, 1 + z0397 + z1169 = 1 mark(z) -{ 0 }-> 1 :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, 1 + z0480 = 1, z0 >= 0, z1 = z0 mark(z) -{ 0 }-> 1 :|: z - 2 >= 0, 1 = 1, z0 >= 0, z - 2 = z0 mark(z) -{ 0 }-> 1 :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, 1 + z0481 + z1205 = 1, z0 >= 0, z1 = z0 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: z >= 0 mark(z) -{ 0 }-> 0 :|: z = 1 + 0, 0 = 0 mark(z) -{ 0 }-> 0 :|: z = 1 + 0, v0 >= 0, 0 = v0 mark(z) -{ 0 }-> 0 :|: z - 2 >= 0, v0 >= 0, 1 + (z - 2) = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + 1, v0 >= 0, 1 = v0 mark(z) -{ 0 }-> 0 :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), v0 >= 0, 1 + z0390 + z1166 = v0 mark(z) -{ 0 }-> 0 :|: z - 1 >= 0, 0 = 0 mark(z) -{ 0 }-> 0 :|: z - 1 >= 0, v0 >= 0, 0 = v0 mark(z) -{ 0 }-> 0 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, v0 >= 0, 1 + z0397 + z1169 = v0 mark(z) -{ 0 }-> 0 :|: z - 1 >= 0, v0 >= 0, v1 >= 0, 0 = v0, z - 1 = v1 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, v0 >= 0, v1 >= 0, 1 + z0480 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z - 2 >= 0, v0 >= 0, v1 >= 0, 1 = v0, z - 2 = v1 mark(z) -{ 0 }-> 0 :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, v0 >= 0, v1 >= 0, 1 + z0481 + z1205 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1, v0 >= 0, v1 >= 0, 0 = v0, z1 = v1 mark(z) -{ 0 }-> 0 :|: z - 1 >= 0, v0 >= 0, z - 1 = v0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + 0, 0 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z - 2 >= 0, 1 + (z - 2) = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + 1, 1 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), 1 + z0390 + z1166 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, 1 + z0397 + z1169 = z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0' :|: z - 1 >= 0, 0 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + z0' :|: z - 1 >= 0, z - 1 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + (z - 1) :|: z - 1 >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z - 2 >= 0, 1 + (z - 2) = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + 1, 1 = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z1166 >= 0, z0390 >= 0, z = 1 + (1 + z0390 + z1166), 1 + z0390 + z1166 = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z - 1 >= 0, 0 = z0, z1' >= 0, z - 1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, 1 + z0480 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z - 2 >= 0, 1 = z0, z1' >= 0, z - 2 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1' :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, 1 + z0481 + z1205 = z0, z1' >= 0, z1 = z1', z0 >= 0 mark(z) -{ 0 }-> 1 + z0' + z1' :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1, 0 = z0', z1' >= 0, z1 = z1', z0' >= 0 mark(z) -{ 0 }-> 1 + z0' + (1 + (1 + z0')) :|: z - 1 >= 0, z - 1 = z0', z0' >= 0 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z - 2 >= 0, z1 >= 0, z0 >= 0, 1 + (z - 2) = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z = 1 + 1, z1 >= 0, z0 >= 0, 1 = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z = 1 + (1 + z0397 + z1169), z0397 >= 0, z1169 >= 0, z1 >= 0, z0 >= 0, 1 + z0397 + z1169 = 1 + z0 + z1 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z1 >= 0, z0480 >= 0, z = 1 + (1 + z0480) + z1, z1' >= 0, z1 = z2, z0 >= 0, 1 + z0480 = 1 + z0 + z1', z2 >= 0 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z - 2 >= 0, z1' >= 0, z - 2 = z2, z0 >= 0, 1 = 1 + z0 + z1', z2 >= 0 mark(z) -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1' + z2) :|: z0481 >= 0, z1205 >= 0, z1 >= 0, z = 1 + (1 + z0481 + z1205) + z1, z1' >= 0, z1 = z2, z0 >= 0, 1 + z0481 + z1205 = 1 + z0 + z1', z2 >= 0 ---------------------------------------- (59) 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__dbl(v0) -> null_a__dbl [0] a__dbls(v0) -> null_a__dbls [0] a__sel(v0, v1) -> null_a__sel [0] a__indx(v0, v1) -> null_a__indx [0] a__from(v0) -> null_a__from [0] mark(v0) -> null_mark [0] A__SEL(v0, v1) -> null_A__SEL [0] MARK(v0) -> null_MARK [0] And the following fresh constants: null_a__dbl, null_a__dbls, null_a__sel, null_a__indx, null_a__from, null_mark, null_A__SEL, null_MARK ---------------------------------------- (60) 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__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) [1] A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) [1] MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) [1] MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) [1] MARK(dbl(z0)) -> c15(MARK(z0)) [1] MARK(dbls(z0)) -> c16(MARK(z0)) [1] MARK(indx(z0, z1)) -> c19(MARK(z0)) [1] a__dbl(0) -> 0 [0] a__dbl(s(z0)) -> s(s(dbl(z0))) [0] a__dbl(z0) -> dbl(z0) [0] a__dbls(nil) -> nil [0] a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) [0] a__dbls(z0) -> dbls(z0) [0] a__sel(0, cons(z0, z1)) -> mark(z0) [0] a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) [0] a__sel(z0, z1) -> sel(z0, z1) [0] a__indx(nil, z0) -> nil [0] a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) [0] a__indx(z0, z1) -> indx(z0, z1) [0] a__from(z0) -> cons(z0, from(s(z0))) [0] a__from(z0) -> from(z0) [0] mark(dbl(z0)) -> a__dbl(mark(z0)) [0] mark(dbls(z0)) -> a__dbls(mark(z0)) [0] mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) [0] mark(indx(z0, z1)) -> a__indx(mark(z0), z1) [0] mark(from(z0)) -> a__from(z0) [0] mark(0) -> 0 [0] mark(s(z0)) -> s(z0) [0] mark(nil) -> nil [0] mark(cons(z0, z1)) -> cons(z0, z1) [0] a__dbl(v0) -> null_a__dbl [0] a__dbls(v0) -> null_a__dbls [0] a__sel(v0, v1) -> null_a__sel [0] a__indx(v0, v1) -> null_a__indx [0] a__from(v0) -> null_a__from [0] mark(v0) -> null_mark [0] A__SEL(v0, v1) -> null_A__SEL [0] MARK(v0) -> null_MARK [0] The TRS has the following type information: A__SEL :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c6:c7:c8:null_A__SEL 0 :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark cons :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c6 :: c17:c18:c15:c16:c19:null_MARK -> c6:c7:c8:null_A__SEL MARK :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> c17:c18:c15:c16:c19:null_MARK s :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c7 :: c6:c7:c8:null_A__SEL -> c17:c18:c15:c16:c19:null_MARK -> c6:c7:c8:null_A__SEL mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c8 :: c6:c7:c8:null_A__SEL -> c17:c18:c15:c16:c19:null_MARK -> c6:c7:c8:null_A__SEL sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c17 :: c6:c7:c8:null_A__SEL -> c17:c18:c15:c16:c19:null_MARK -> c17:c18:c15:c16:c19:null_MARK c18 :: c6:c7:c8:null_A__SEL -> c17:c18:c15:c16:c19:null_MARK -> c17:c18:c15:c16:c19:null_MARK dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c15 :: c17:c18:c15:c16:c19:null_MARK -> c17:c18:c15:c16:c19:null_MARK dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c16 :: c17:c18:c15:c16:c19:null_MARK -> c17:c18:c15:c16:c19:null_MARK indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark c19 :: c17:c18:c15:c16:c19:null_MARK -> c17:c18:c15:c16:c19:null_MARK a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark nil :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark -> 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbl :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__dbls :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__sel :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__indx :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_a__from :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_mark :: 0:cons:s:sel:dbl:dbls:indx:nil:from:null_a__dbl:null_a__dbls:null_a__sel:null_a__indx:null_a__from:null_mark null_A__SEL :: c6:c7:c8:null_A__SEL null_MARK :: c17:c18:c15:c16:c19:null_MARK Rewrite Strategy: INNERMOST ---------------------------------------- (61) 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 nil => 1 null_a__dbl => 0 null_a__dbls => 0 null_a__sel => 0 null_a__indx => 0 null_a__from => 0 null_mark => 0 null_A__SEL => 0 null_MARK => 0 ---------------------------------------- (62) Obligation: Complexity RNTS consisting of the following rules: A__SEL(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 A__SEL(z, z') -{ 1 }-> 1 + MARK(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z0) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 A__SEL(z, z') -{ 1 }-> 1 + A__SEL(mark(z0), mark(z2)) + MARK(z2) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 MARK(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z = 1 + z0, z0 >= 0 MARK(z) -{ 1 }-> 1 + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z0) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 MARK(z) -{ 1 }-> 1 + A__SEL(mark(z0), mark(z1)) + MARK(z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__dbl(z) -{ 0 }-> 0 :|: z = 0 a__dbl(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbl(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbl(z) -{ 0 }-> 1 + (1 + (1 + z0)) :|: z = 1 + z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 :|: z = 1 a__dbls(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__dbls(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__dbls(z) -{ 0 }-> 1 + (1 + z0) + (1 + z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 a__from(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 a__from(z) -{ 0 }-> 1 + z0 :|: z = z0, z0 >= 0 a__from(z) -{ 0 }-> 1 + z0 + (1 + (1 + z0)) :|: z = z0, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 :|: z = 1, z0 >= 0, z' = z0 a__indx(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__indx(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 a__indx(z, z') -{ 0 }-> 1 + (1 + z0 + z2) + (1 + z1 + z2) :|: z1 >= 0, z' = z2, z0 >= 0, z = 1 + z0 + z1, z2 >= 0 a__sel(z, z') -{ 0 }-> mark(z0) :|: z' = 1 + z0 + z1, z1 >= 0, z0 >= 0, z = 0 a__sel(z, z') -{ 0 }-> a__sel(mark(z0), mark(z2)) :|: z1 >= 0, z' = 1 + z1 + z2, z = 1 + z0, z0 >= 0, z2 >= 0 a__sel(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1 a__sel(z, z') -{ 0 }-> 1 + z0 + z1 :|: z = z0, z1 >= 0, z' = z1, z0 >= 0 mark(z) -{ 0 }-> a__sel(mark(z0), mark(z1)) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__indx(mark(z0), z1) :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 mark(z) -{ 0 }-> a__from(z0) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__dbls(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> a__dbl(mark(z0)) :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 :|: z = 1 mark(z) -{ 0 }-> 0 :|: z = 0 mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0 mark(z) -{ 0 }-> 1 + z0 :|: z = 1 + z0, z0 >= 0 mark(z) -{ 0 }-> 1 + z0 + z1 :|: z1 >= 0, z0 >= 0, z = 1 + z0 + z1 Only complete derivations are relevant for the runtime complexity. ---------------------------------------- (63) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(z0), cons(z1, z2)) -> c7(A__SEL(mark(z0), mark(z2)), MARK(z0)) by A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c7(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(A__SEL(mark(x0), s(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(A__SEL(mark(x0), nil), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, x2)) -> c7(A__SEL(nil, mark(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__SEL(cons(z0, z1), mark(x2)), MARK(cons(z0, z1))) ---------------------------------------- (64) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c7(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(A__SEL(mark(x0), s(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(A__SEL(mark(x0), nil), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, x2)) -> c7(A__SEL(nil, mark(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__SEL(cons(z0, z1), mark(x2)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c7(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(A__SEL(mark(x0), s(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(A__SEL(mark(x0), nil), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, x2)) -> c7(A__SEL(nil, mark(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__SEL(cons(z0, z1), mark(x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c8_2, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2 ---------------------------------------- (65) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c7(A__SEL(cons(z0, z1), mark(x2)), MARK(cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c7(A__SEL(nil, mark(x2)), MARK(nil)) ---------------------------------------- (66) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c7(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(A__SEL(mark(x0), s(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(A__SEL(mark(x0), nil), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, 0)) -> c7(A__SEL(mark(x0), 0), MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(A__SEL(mark(x0), s(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(A__SEL(mark(x0), nil), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c8_2, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2 ---------------------------------------- (67) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (68) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c8_2, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1 ---------------------------------------- (69) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(z0), cons(z1, z2)) -> c8(A__SEL(mark(z0), mark(z2)), MARK(z2)) by A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(x0), cons(x1, 0)) -> c8(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, s(z0))) -> c8(A__SEL(mark(x0), s(z0)), MARK(s(z0))) A__SEL(s(x0), cons(x1, nil)) -> c8(A__SEL(mark(x0), nil), MARK(nil)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(nil), cons(x1, x2)) -> c8(A__SEL(nil, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(A__SEL(cons(z0, z1), mark(x2)), MARK(x2)) ---------------------------------------- (70) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(x0), cons(x1, 0)) -> c8(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, s(z0))) -> c8(A__SEL(mark(x0), s(z0)), MARK(s(z0))) A__SEL(s(x0), cons(x1, nil)) -> c8(A__SEL(mark(x0), nil), MARK(nil)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(nil), cons(x1, x2)) -> c8(A__SEL(nil, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(A__SEL(cons(z0, z1), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(x0), cons(x1, 0)) -> c8(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, s(z0))) -> c8(A__SEL(mark(x0), s(z0)), MARK(s(z0))) A__SEL(s(x0), cons(x1, nil)) -> c8(A__SEL(mark(x0), nil), MARK(nil)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(nil), cons(x1, x2)) -> c8(A__SEL(nil, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(A__SEL(cons(z0, z1), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2 ---------------------------------------- (71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(x0), cons(x1, nil)) -> c8(A__SEL(mark(x0), nil), MARK(nil)) A__SEL(s(x0), cons(x1, 0)) -> c8(A__SEL(mark(x0), 0), MARK(0)) A__SEL(s(x0), cons(x1, s(z0))) -> c8(A__SEL(mark(x0), s(z0)), MARK(s(z0))) ---------------------------------------- (72) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(nil), cons(x1, x2)) -> c8(A__SEL(nil, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(A__SEL(cons(z0, z1), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(nil), cons(x1, x2)) -> c8(A__SEL(nil, mark(x2)), MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(A__SEL(cons(z0, z1), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2 ---------------------------------------- (73) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (74) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c17_2, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1 ---------------------------------------- (75) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(z0, z1)) -> c17(A__SEL(mark(z0), mark(z1)), MARK(z0)) by MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, 0)) -> c17(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, s(z0))) -> c17(A__SEL(mark(x0), s(z0)), MARK(x0)) MARK(sel(x0, nil)) -> c17(A__SEL(mark(x0), nil), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1)), MARK(from(z0))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1)), MARK(s(z0))) MARK(sel(nil, x1)) -> c17(A__SEL(nil, mark(x1)), MARK(nil)) MARK(sel(cons(z0, z1), x1)) -> c17(A__SEL(cons(z0, z1), mark(x1)), MARK(cons(z0, z1))) ---------------------------------------- (76) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, 0)) -> c17(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, s(z0))) -> c17(A__SEL(mark(x0), s(z0)), MARK(x0)) MARK(sel(x0, nil)) -> c17(A__SEL(mark(x0), nil), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1)), MARK(from(z0))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1)), MARK(s(z0))) MARK(sel(nil, x1)) -> c17(A__SEL(nil, mark(x1)), MARK(nil)) MARK(sel(cons(z0, z1), x1)) -> c17(A__SEL(cons(z0, z1), mark(x1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, 0)) -> c17(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, s(z0))) -> c17(A__SEL(mark(x0), s(z0)), MARK(x0)) MARK(sel(x0, nil)) -> c17(A__SEL(mark(x0), nil), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1)), MARK(from(z0))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1)), MARK(s(z0))) MARK(sel(nil, x1)) -> c17(A__SEL(nil, mark(x1)), MARK(nil)) MARK(sel(cons(z0, z1), x1)) -> c17(A__SEL(cons(z0, z1), mark(x1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2 ---------------------------------------- (77) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), x1)) -> c17(A__SEL(cons(z0, z1), mark(x1)), MARK(cons(z0, z1))) MARK(sel(nil, x1)) -> c17(A__SEL(nil, mark(x1)), MARK(nil)) ---------------------------------------- (78) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, 0)) -> c17(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, s(z0))) -> c17(A__SEL(mark(x0), s(z0)), MARK(x0)) MARK(sel(x0, nil)) -> c17(A__SEL(mark(x0), nil), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1)), MARK(from(z0))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, 0)) -> c17(A__SEL(mark(x0), 0), MARK(x0)) MARK(sel(x0, s(z0))) -> c17(A__SEL(mark(x0), s(z0)), MARK(x0)) MARK(sel(x0, nil)) -> c17(A__SEL(mark(x0), nil), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1)), MARK(from(z0))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1)), MARK(0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2 ---------------------------------------- (79) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (80) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c18_2, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1 ---------------------------------------- (81) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(z0, z1)) -> c18(A__SEL(mark(z0), mark(z1)), MARK(z1)) by MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) MARK(sel(x0, 0)) -> c18(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, s(z0))) -> c18(A__SEL(mark(x0), s(z0)), MARK(s(z0))) MARK(sel(x0, nil)) -> c18(A__SEL(mark(x0), nil), MARK(nil)) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(nil, x1)) -> c18(A__SEL(nil, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(A__SEL(cons(z0, z1), mark(x1)), MARK(x1)) ---------------------------------------- (82) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) MARK(sel(x0, 0)) -> c18(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, s(z0))) -> c18(A__SEL(mark(x0), s(z0)), MARK(s(z0))) MARK(sel(x0, nil)) -> c18(A__SEL(mark(x0), nil), MARK(nil)) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(nil, x1)) -> c18(A__SEL(nil, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(A__SEL(cons(z0, z1), mark(x1)), MARK(x1)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) MARK(sel(x0, 0)) -> c18(A__SEL(mark(x0), 0), MARK(0)) MARK(sel(x0, s(z0))) -> c18(A__SEL(mark(x0), s(z0)), MARK(s(z0))) MARK(sel(x0, nil)) -> c18(A__SEL(mark(x0), nil), MARK(nil)) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(nil, x1)) -> c18(A__SEL(nil, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(A__SEL(cons(z0, z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2 ---------------------------------------- (83) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(sel(x0, s(z0))) -> c18(A__SEL(mark(x0), s(z0)), MARK(s(z0))) MARK(sel(x0, nil)) -> c18(A__SEL(mark(x0), nil), MARK(nil)) MARK(sel(x0, 0)) -> c18(A__SEL(mark(x0), 0), MARK(0)) ---------------------------------------- (84) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(nil, x1)) -> c18(A__SEL(nil, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(A__SEL(cons(z0, z1), mark(x1)), MARK(x1)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0)), MARK(from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1)), MARK(cons(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(nil, x1)) -> c18(A__SEL(nil, mark(x1)), MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(A__SEL(cons(z0, z1), mark(x1)), MARK(x1)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2 ---------------------------------------- (85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (86) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (87) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, dbl(z0))) -> c7(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) by A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(A__SEL(mark(x0), dbl(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c7(A__SEL(nil, a__dbl(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (88) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(A__SEL(mark(x0), dbl(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c7(A__SEL(nil, a__dbl(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(A__SEL(mark(x0), dbl(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c7(A__SEL(nil, a__dbl(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (89) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(nil), cons(x1, dbl(x2))) -> c7(A__SEL(nil, a__dbl(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (90) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(A__SEL(mark(x0), dbl(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(A__SEL(mark(x0), dbl(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (91) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (92) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (93) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, dbls(z0))) -> c7(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) by A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(A__SEL(mark(x0), dbls(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c7(A__SEL(nil, a__dbls(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (94) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(A__SEL(mark(x0), dbls(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c7(A__SEL(nil, a__dbls(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(A__SEL(mark(x0), dbls(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2))), MARK(s(z0))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c7(A__SEL(nil, a__dbls(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (95) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(nil), cons(x1, dbls(x2))) -> c7(A__SEL(nil, a__dbls(mark(x2))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (96) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(A__SEL(mark(x0), dbls(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(A__SEL(mark(x0), dbls(mark(x2))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(from(z0))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2))), MARK(0)) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (98) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (99) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c7(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) by A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(from(z0))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(0)) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(s(z0))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c7(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(cons(z0, z1))) ---------------------------------------- (100) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(from(z0))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(0)) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(s(z0))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c7(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(from(z0))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(0)) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(s(z0))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c7(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (101) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c7(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(cons(z0, z1))) ---------------------------------------- (102) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(from(z0))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(0)) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(from(z0))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(0)) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (103) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (104) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (105) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c7(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) by A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c7(A__SEL(nil, a__indx(mark(x2), x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(cons(z0, z1))) ---------------------------------------- (106) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c7(A__SEL(nil, a__indx(mark(x2), x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c7(A__SEL(nil, a__indx(mark(x2), x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (107) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c7(A__SEL(nil, a__indx(mark(x2), x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(cons(z0, z1))) ---------------------------------------- (108) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (109) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (110) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (111) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), a__from(z0)), MARK(x0)) by A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), from(z0)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c7(A__SEL(nil, a__from(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(cons(z0, z1), a__from(x2)), MARK(cons(z0, z1))) ---------------------------------------- (112) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), from(z0)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c7(A__SEL(nil, a__from(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(cons(z0, z1), a__from(x2)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), from(z0)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2)), MARK(s(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c7(A__SEL(nil, a__from(x2)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(cons(z0, z1), a__from(x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (113) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(cons(z0, z1), a__from(x2)), MARK(cons(z0, z1))) A__SEL(s(nil), cons(x1, from(x2))) -> c7(A__SEL(nil, a__from(x2)), MARK(nil)) ---------------------------------------- (114) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), from(z0)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), from(z0)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2)), MARK(from(z0))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2)), MARK(0)) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (115) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (116) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (117) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c7(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) by A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c7(A__SEL(nil, cons(x2, x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(cons(z0, z1), cons(x2, x3)), MARK(cons(z0, z1))) ---------------------------------------- (118) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c7(A__SEL(nil, cons(x2, x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(cons(z0, z1), cons(x2, x3)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3)), MARK(s(z0))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c7(A__SEL(nil, cons(x2, x3)), MARK(nil)) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(cons(z0, z1), cons(x2, x3)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(cons(z0, z1), cons(x2, x3)), MARK(cons(z0, z1))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c7(A__SEL(nil, cons(x2, x3)), MARK(nil)) ---------------------------------------- (120) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3)), MARK(from(z0))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3)), MARK(0)) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (121) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (122) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (123) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(dbl(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(dbl(z0))) by A__SEL(s(dbl(x0)), cons(x1, dbl(z0))) -> c7(A__SEL(a__dbl(mark(x0)), a__dbl(mark(z0))), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, dbls(z0))) -> c7(A__SEL(a__dbl(mark(x0)), a__dbls(mark(z0))), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, sel(z0, z1))) -> c7(A__SEL(a__dbl(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, indx(z0, z1))) -> c7(A__SEL(a__dbl(mark(x0)), a__indx(mark(z0), z1)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c7(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c7(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(A__SEL(dbl(mark(x0)), mark(x2)), MARK(dbl(x0))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) ---------------------------------------- (124) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(A__SEL(dbl(mark(x0)), mark(x2)), MARK(dbl(x0))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(A__SEL(dbl(mark(x0)), mark(x2)), MARK(dbl(x0))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (125) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (126) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (127) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(dbls(z0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(dbls(z0))) by A__SEL(s(dbls(x0)), cons(x1, dbl(z0))) -> c7(A__SEL(a__dbls(mark(x0)), a__dbl(mark(z0))), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, dbls(z0))) -> c7(A__SEL(a__dbls(mark(x0)), a__dbls(mark(z0))), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, sel(z0, z1))) -> c7(A__SEL(a__dbls(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, indx(z0, z1))) -> c7(A__SEL(a__dbls(mark(x0)), a__indx(mark(z0), z1)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c7(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbls(mark(x0)), 0), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbls(mark(x0)), nil), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c7(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(A__SEL(dbls(mark(x0)), mark(x2)), MARK(dbls(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) ---------------------------------------- (128) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbls(mark(x0)), 0), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbls(mark(x0)), nil), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(A__SEL(dbls(mark(x0)), mark(x2)), MARK(dbls(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(A__SEL(a__dbls(mark(x0)), 0), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(A__SEL(a__dbls(mark(x0)), nil), MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(A__SEL(dbls(mark(x0)), mark(x2)), MARK(dbls(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (129) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (130) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (131) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(sel(z0, z1))) by A__SEL(s(sel(x0, x1)), cons(x2, dbl(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), a__dbl(mark(z0))), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, dbls(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), a__dbls(mark(z0))), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, sel(z0, z1))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, indx(z0, z1))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), a__indx(mark(z0), z1)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) ---------------------------------------- (132) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(sel(x0, x1))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (133) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (134) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_2, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1 ---------------------------------------- (135) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c7(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(indx(z0, z1))) by A__SEL(s(indx(x0, x1)), cons(x2, dbl(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), a__dbl(mark(z0))), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, dbls(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), a__dbls(mark(z0))), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, sel(z0, z1))) -> c7(A__SEL(a__indx(mark(x0), x1), a__sel(mark(z0), mark(z1))), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, indx(z0, z1))) -> c7(A__SEL(a__indx(mark(x0), x1), a__indx(mark(z0), z1)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c7(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c7(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(indx(x0, z1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) ---------------------------------------- (136) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c7(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(indx(x0, z1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c7(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(indx(x0, z1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (137) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (138) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (139) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(a__from(z0), mark(x2))) by A__SEL(s(from(x0)), cons(x1, dbl(z0))) -> c7(A__SEL(a__from(x0), a__dbl(mark(z0)))) A__SEL(s(from(x0)), cons(x1, dbls(z0))) -> c7(A__SEL(a__from(x0), a__dbls(mark(z0)))) A__SEL(s(from(x0)), cons(x1, sel(z0, z1))) -> c7(A__SEL(a__from(x0), a__sel(mark(z0), mark(z1)))) A__SEL(s(from(x0)), cons(x1, indx(z0, z1))) -> c7(A__SEL(a__from(x0), a__indx(mark(z0), z1))) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c7(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, 0)) -> c7(A__SEL(a__from(x0), 0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__from(x0), s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c7(A__SEL(a__from(x0), nil)) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c7(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(cons(z0, from(s(z0))), mark(x2))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(from(z0), mark(x2))) ---------------------------------------- (140) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(from(x0)), cons(x1, 0)) -> c7(A__SEL(a__from(x0), 0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__from(x0), s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c7(A__SEL(a__from(x0), nil)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(cons(z0, from(s(z0))), mark(x2))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(from(z0), mark(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, 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c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(from(x0)), cons(x1, 0)) -> c7(A__SEL(a__from(x0), 0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__from(x0), s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c7(A__SEL(a__from(x0), nil)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(cons(z0, from(s(z0))), mark(x2))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(from(z0), mark(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (141) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing nodes: A__SEL(s(from(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__from(x0), s(z0))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(from(z0), mark(x2))) A__SEL(s(from(x0)), cons(x1, nil)) -> c7(A__SEL(a__from(x0), nil)) A__SEL(s(from(x0)), cons(x1, 0)) -> c7(A__SEL(a__from(x0), 0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(cons(z0, from(s(z0))), mark(x2))) ---------------------------------------- (142) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, 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A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (143) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(0), cons(x1, x2)) -> c7(A__SEL(0, mark(x2))) by A__SEL(s(0), cons(x0, dbl(z0))) -> c7(A__SEL(0, a__dbl(mark(z0)))) A__SEL(s(0), cons(x0, dbls(z0))) -> c7(A__SEL(0, a__dbls(mark(z0)))) A__SEL(s(0), cons(x0, sel(z0, z1))) -> c7(A__SEL(0, a__sel(mark(z0), mark(z1)))) A__SEL(s(0), cons(x0, indx(z0, z1))) -> c7(A__SEL(0, a__indx(mark(z0), z1))) A__SEL(s(0), cons(x0, from(z0))) -> c7(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, 0)) -> c7(A__SEL(0, 0)) A__SEL(s(0), cons(x0, s(z0))) -> c7(A__SEL(0, s(z0))) A__SEL(s(0), cons(x0, nil)) -> c7(A__SEL(0, nil)) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c7(A__SEL(0, cons(z0, z1))) ---------------------------------------- (144) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), 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c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(0), cons(x0, 0)) -> c7(A__SEL(0, 0)) A__SEL(s(0), cons(x0, s(z0))) -> c7(A__SEL(0, s(z0))) A__SEL(s(0), cons(x0, nil)) -> c7(A__SEL(0, nil)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(0), cons(x0, 0)) -> c7(A__SEL(0, 0)) A__SEL(s(0), cons(x0, s(z0))) -> c7(A__SEL(0, s(z0))) A__SEL(s(0), cons(x0, nil)) -> c7(A__SEL(0, nil)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (145) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(0), cons(x0, 0)) -> c7(A__SEL(0, 0)) A__SEL(s(0), cons(x0, nil)) -> c7(A__SEL(0, nil)) A__SEL(s(0), cons(x0, s(z0))) -> c7(A__SEL(0, s(z0))) ---------------------------------------- (146) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (147) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(s(z0)), cons(x1, x2)) -> c7(A__SEL(s(z0), mark(x2))) by A__SEL(s(s(x0)), cons(x1, dbl(z0))) -> c7(A__SEL(s(x0), a__dbl(mark(z0)))) A__SEL(s(s(x0)), cons(x1, dbls(z0))) -> c7(A__SEL(s(x0), a__dbls(mark(z0)))) A__SEL(s(s(x0)), cons(x1, sel(z0, z1))) -> c7(A__SEL(s(x0), a__sel(mark(z0), mark(z1)))) A__SEL(s(s(x0)), cons(x1, indx(z0, z1))) -> c7(A__SEL(s(x0), a__indx(mark(z0), z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c7(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c7(A__SEL(s(x0), 0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c7(A__SEL(s(x0), s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c7(A__SEL(s(x0), nil)) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c7(A__SEL(s(x0), cons(z0, z1))) ---------------------------------------- (148) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), 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c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) 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z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(s(x0)), cons(x1, 0)) -> c7(A__SEL(s(x0), 0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c7(A__SEL(s(x0), s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c7(A__SEL(s(x0), nil)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(s(x0)), cons(x1, 0)) -> c7(A__SEL(s(x0), 0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c7(A__SEL(s(x0), s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c7(A__SEL(s(x0), nil)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (149) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(s(x0)), cons(x1, s(z0))) -> c7(A__SEL(s(x0), s(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c7(A__SEL(s(x0), 0)) A__SEL(s(s(x0)), cons(x1, nil)) -> c7(A__SEL(s(x0), nil)) ---------------------------------------- (150) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (151) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, dbl(z0))) -> c8(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) by A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(A__SEL(mark(x0), dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(A__SEL(nil, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) ---------------------------------------- (152) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), 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A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), 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x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(A__SEL(mark(x0), dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(A__SEL(nil, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(A__SEL(mark(x0), dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(A__SEL(nil, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (154) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (155) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, dbls(z0))) -> c8(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) by A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(A__SEL(mark(x0), dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(A__SEL(nil, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) ---------------------------------------- (156) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) 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A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(A__SEL(mark(x0), dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(A__SEL(nil, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), 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mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(A__SEL(mark(x0), dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(A__SEL(nil, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(cons(z0, z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (158) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), 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c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (159) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, sel(z0, z1))) -> c8(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) by A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) ---------------------------------------- (160) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(A__SEL(mark(x0), sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (162) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> 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c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 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cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (163) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, indx(z0, z1))) -> c8(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) by A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c8(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(indx(x2, z1))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(A__SEL(nil, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) ---------------------------------------- (164) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> 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c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), 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A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), 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sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c8(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(indx(x2, z1))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(A__SEL(nil, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) 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A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c8(A__SEL(mark(x0), indx(mark(x2), z1)), MARK(indx(x2, z1))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(A__SEL(nil, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(cons(z0, z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (166) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> 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cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (167) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(dbl(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(mark(z0)), mark(x2)), MARK(x2)) by A__SEL(s(dbl(x0)), cons(x1, dbl(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(dbl(x0)), cons(x1, dbls(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(dbl(x0)), cons(x1, sel(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, indx(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbl(mark(x0)), 0), MARK(0)) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbl(mark(x0)), nil), MARK(nil)) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(A__SEL(dbl(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) ---------------------------------------- (168) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) 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x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbl(mark(x0)), 0), MARK(0)) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbl(mark(x0)), nil), MARK(nil)) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(A__SEL(dbl(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) 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c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, 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A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbl(mark(x0)), 0), MARK(0)) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbl(mark(x0)), nil), MARK(nil)) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(A__SEL(dbl(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (169) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(dbl(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbl(mark(x0)), 0), MARK(0)) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbl(mark(x0)), nil), MARK(nil)) ---------------------------------------- (170) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(A__SEL(dbl(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> 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a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(A__SEL(dbl(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (171) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (172) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (173) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(dbls(z0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(mark(z0)), mark(x2)), MARK(x2)) by A__SEL(s(dbls(x0)), cons(x1, dbl(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(dbls(x0)), cons(x1, dbls(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(dbls(x0)), cons(x1, sel(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, indx(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbls(mark(x0)), 0), MARK(0)) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbls(mark(x0)), nil), MARK(nil)) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(A__SEL(dbls(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) ---------------------------------------- (174) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbls(mark(x0)), 0), MARK(0)) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbls(mark(x0)), nil), MARK(nil)) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(A__SEL(dbls(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> 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cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> 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c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> 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dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbls(mark(x0)), 0), MARK(0)) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbls(mark(x0)), nil), MARK(nil)) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(A__SEL(dbls(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (175) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(dbls(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbls(mark(x0)), nil), MARK(nil)) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(s(z0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c8(A__SEL(a__dbls(mark(x0)), 0), MARK(0)) ---------------------------------------- (176) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), 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MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), 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A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) 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A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(A__SEL(dbls(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), 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MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(A__SEL(dbls(mark(x0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (178) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> 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cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), 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c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (179) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(sel(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), mark(x2)), MARK(x2)) by A__SEL(s(sel(x0, x1)), cons(x2, dbl(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(sel(x0, x1)), cons(x2, dbls(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(sel(x0, x1)), cons(x2, sel(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, indx(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(0)) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(s(z0))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(nil)) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) ---------------------------------------- (180) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(0)) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(s(z0))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(nil)) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), 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sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(0)) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(s(z0))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(nil)) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (181) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(s(z0))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(0)) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(nil)) ---------------------------------------- (182) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) 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mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), 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A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, 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x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(A__SEL(sel(mark(x0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (183) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (184) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) 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A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) 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MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (185) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(indx(z0, z1)), cons(x1, x2)) -> c8(A__SEL(a__indx(mark(z0), z1), mark(x2)), MARK(x2)) by A__SEL(s(indx(x0, x1)), cons(x2, dbl(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(indx(x0, x1)), cons(x2, dbls(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(indx(x0, x1)), cons(x2, sel(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(indx(x0, x1)), cons(x2, indx(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__indx(mark(x0), x1), 0), MARK(0)) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(s(z0))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__indx(mark(x0), x1), nil), MARK(nil)) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) ---------------------------------------- (186) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__indx(mark(x0), x1), 0), MARK(0)) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(s(z0))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__indx(mark(x0), x1), nil), MARK(nil)) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__indx(mark(x0), x1), 0), MARK(0)) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(s(z0))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__indx(mark(x0), x1), nil), MARK(nil)) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (187) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c8(A__SEL(a__indx(mark(x0), x1), 0), MARK(0)) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c8(A__SEL(a__indx(mark(x0), x1), nil), MARK(nil)) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(s(z0))) ---------------------------------------- (188) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, 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c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(A__SEL(indx(mark(x0), z1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (189) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (190) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> 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A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), 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c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> 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MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) 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from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (191) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(a__from(z0), mark(x2)), MARK(x2)) by A__SEL(s(from(x0)), cons(x1, dbl(z0))) -> c8(A__SEL(a__from(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(from(x0)), cons(x1, dbls(z0))) -> c8(A__SEL(a__from(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(from(x0)), cons(x1, sel(z0, z1))) -> c8(A__SEL(a__from(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(from(x0)), cons(x1, indx(z0, z1))) -> c8(A__SEL(a__from(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(from(x0)), cons(x1, 0)) -> c8(A__SEL(a__from(x0), 0), MARK(0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__from(x0), s(z0)), MARK(s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c8(A__SEL(a__from(x0), nil), MARK(nil)) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(cons(z0, from(s(z0))), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(from(z0), mark(x2)), MARK(x2)) ---------------------------------------- (192) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(from(x0)), cons(x1, 0)) -> c8(A__SEL(a__from(x0), 0), MARK(0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__from(x0), s(z0)), MARK(s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c8(A__SEL(a__from(x0), nil), MARK(nil)) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(cons(z0, from(s(z0))), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(from(z0), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(from(x0)), cons(x1, 0)) -> c8(A__SEL(a__from(x0), 0), MARK(0)) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__from(x0), s(z0)), MARK(s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c8(A__SEL(a__from(x0), nil), MARK(nil)) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(cons(z0, from(s(z0))), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(from(z0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (193) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(from(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__from(x0), s(z0)), MARK(s(z0))) A__SEL(s(from(x0)), cons(x1, nil)) -> c8(A__SEL(a__from(x0), nil), MARK(nil)) A__SEL(s(from(x0)), cons(x1, 0)) -> c8(A__SEL(a__from(x0), 0), MARK(0)) ---------------------------------------- (194) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), 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A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(cons(z0, from(s(z0))), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(from(z0), mark(x2)), MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> 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c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1)), MARK(cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(cons(z0, from(s(z0))), mark(x2)), MARK(x2)) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(A__SEL(from(z0), mark(x2)), MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (195) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (196) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> 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c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (197) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(0), cons(x1, x2)) -> c8(A__SEL(0, mark(x2)), MARK(x2)) by A__SEL(s(0), cons(x0, dbl(z0))) -> c8(A__SEL(0, a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(0), cons(x0, dbls(z0))) -> c8(A__SEL(0, a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(0), cons(x0, sel(z0, z1))) -> c8(A__SEL(0, a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(0), cons(x0, indx(z0, z1))) -> c8(A__SEL(0, a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0)), MARK(from(z0))) A__SEL(s(0), cons(x0, 0)) -> c8(A__SEL(0, 0), MARK(0)) A__SEL(s(0), cons(x0, s(z0))) -> c8(A__SEL(0, s(z0)), MARK(s(z0))) A__SEL(s(0), cons(x0, nil)) -> c8(A__SEL(0, nil), MARK(nil)) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1)), MARK(cons(z0, z1))) ---------------------------------------- (198) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> 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a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0)), MARK(from(z0))) A__SEL(s(0), cons(x0, 0)) -> c8(A__SEL(0, 0), MARK(0)) A__SEL(s(0), cons(x0, s(z0))) -> c8(A__SEL(0, s(z0)), MARK(s(z0))) A__SEL(s(0), cons(x0, nil)) -> c8(A__SEL(0, nil), MARK(nil)) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> 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A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0)), MARK(from(z0))) A__SEL(s(0), cons(x0, 0)) -> c8(A__SEL(0, 0), MARK(0)) A__SEL(s(0), cons(x0, s(z0))) -> c8(A__SEL(0, s(z0)), MARK(s(z0))) A__SEL(s(0), cons(x0, nil)) -> c8(A__SEL(0, nil), MARK(nil)) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (199) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(0), cons(x0, nil)) -> c8(A__SEL(0, nil), MARK(nil)) A__SEL(s(0), cons(x0, 0)) -> c8(A__SEL(0, 0), MARK(0)) A__SEL(s(0), cons(x0, s(z0))) -> c8(A__SEL(0, s(z0)), MARK(s(z0))) ---------------------------------------- (200) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), 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MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), 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a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0)), MARK(from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> 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x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0)), MARK(from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (201) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (202) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), 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A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), 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MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), 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c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), 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c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, 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x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, 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c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_2, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2 ---------------------------------------- (203) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(s(z0)), cons(x1, x2)) -> c8(A__SEL(s(z0), mark(x2)), MARK(x2)) by A__SEL(s(s(x0)), cons(x1, dbl(z0))) -> c8(A__SEL(s(x0), a__dbl(mark(z0))), MARK(dbl(z0))) A__SEL(s(s(x0)), cons(x1, dbls(z0))) -> c8(A__SEL(s(x0), a__dbls(mark(z0))), MARK(dbls(z0))) A__SEL(s(s(x0)), cons(x1, sel(z0, z1))) -> c8(A__SEL(s(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) A__SEL(s(s(x0)), cons(x1, indx(z0, z1))) -> c8(A__SEL(s(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c8(A__SEL(s(x0), 0), MARK(0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c8(A__SEL(s(x0), s(z0)), MARK(s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c8(A__SEL(s(x0), nil), MARK(nil)) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1)), MARK(cons(z0, z1))) ---------------------------------------- (204) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> 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cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> 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c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> 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dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c8(A__SEL(s(x0), 0), MARK(0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c8(A__SEL(s(x0), s(z0)), MARK(s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c8(A__SEL(s(x0), nil), MARK(nil)) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), 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sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c8(A__SEL(s(x0), 0), MARK(0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c8(A__SEL(s(x0), s(z0)), MARK(s(z0))) A__SEL(s(s(x0)), cons(x1, nil)) -> c8(A__SEL(s(x0), nil), MARK(nil)) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (205) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(s(x0)), cons(x1, nil)) -> c8(A__SEL(s(x0), nil), MARK(nil)) A__SEL(s(s(x0)), cons(x1, 0)) -> c8(A__SEL(s(x0), 0), MARK(0)) A__SEL(s(s(x0)), cons(x1, s(z0))) -> c8(A__SEL(s(x0), s(z0)), MARK(s(z0))) ---------------------------------------- (206) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), 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a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), 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MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), 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c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, 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x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0)), MARK(from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (207) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (208) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), 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a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) 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c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), 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indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (209) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), a__from(z0))) by A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), from(z0))) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__from(x2))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__from(x2))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__from(x2))) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c8(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c8(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c8(A__SEL(s(z0), a__from(x2))) A__SEL(s(nil), cons(x1, from(x2))) -> c8(A__SEL(nil, a__from(x2))) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(cons(z0, z1), a__from(x2))) ---------------------------------------- (210) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), 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c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) 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a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), from(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c8(A__SEL(nil, a__from(x2))) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(cons(z0, z1), a__from(x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), 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A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), from(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c8(A__SEL(nil, a__from(x2))) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(cons(z0, z1), a__from(x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (211) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), from(z0))) A__SEL(s(nil), cons(x1, from(x2))) -> c8(A__SEL(nil, a__from(x2))) A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(cons(z0, z1), a__from(x2))) ---------------------------------------- (212) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (213) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace A__SEL(s(x0), cons(x1, cons(z0, z1))) -> c8(A__SEL(mark(x0), cons(z0, z1))) by A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), cons(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), cons(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), cons(x2, x3))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c8(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c8(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c8(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c8(A__SEL(nil, cons(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(cons(z0, z1), cons(x2, x3))) ---------------------------------------- (214) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), 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MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), 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A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) 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A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c8(A__SEL(nil, cons(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(cons(z0, z1), cons(x2, x3))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), 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A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, 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c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c8(A__SEL(nil, cons(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(cons(z0, z1), cons(x2, x3))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (215) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c8(A__SEL(nil, cons(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(cons(z0, z1), cons(x2, x3))) ---------------------------------------- (216) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> 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MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) 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c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> 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MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> 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A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 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x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (217) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, dbl(z0))) -> c17(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(x0)) by MARK(sel(x0, dbl(x1))) -> c17(A__SEL(mark(x0), dbl(mark(x1))), MARK(x0)) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1))), MARK(from(z0))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1))), MARK(0)) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbl(x1))) -> c17(A__SEL(nil, a__dbl(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbl(x1))) -> c17(A__SEL(cons(z0, z1), a__dbl(mark(x1))), MARK(cons(z0, z1))) ---------------------------------------- (218) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> 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c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(x1))) -> c17(A__SEL(mark(x0), dbl(mark(x1))), MARK(x0)) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1))), MARK(from(z0))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1))), MARK(0)) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbl(x1))) -> c17(A__SEL(nil, a__dbl(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbl(x1))) -> c17(A__SEL(cons(z0, z1), a__dbl(mark(x1))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) 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A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(x1))) -> c17(A__SEL(mark(x0), dbl(mark(x1))), MARK(x0)) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1))), MARK(from(z0))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1))), MARK(0)) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbl(x1))) -> c17(A__SEL(nil, a__dbl(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbl(x1))) -> c17(A__SEL(cons(z0, z1), a__dbl(mark(x1))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (219) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), dbl(x1))) -> c17(A__SEL(cons(z0, z1), a__dbl(mark(x1))), MARK(cons(z0, z1))) MARK(sel(nil, dbl(x1))) -> c17(A__SEL(nil, a__dbl(mark(x1))), MARK(nil)) ---------------------------------------- (220) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(x1))) -> c17(A__SEL(mark(x0), dbl(mark(x1))), MARK(x0)) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1))), MARK(from(z0))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1))), MARK(0)) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), 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MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), 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A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), 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A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(x1))) -> c17(A__SEL(mark(x0), dbl(mark(x1))), MARK(x0)) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1))), MARK(from(z0))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1))), MARK(0)) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (221) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (222) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), 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MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), 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A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) 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A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) 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MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, 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MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (223) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, dbls(z0))) -> c17(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(x0)) by MARK(sel(x0, dbls(x1))) -> c17(A__SEL(mark(x0), dbls(mark(x1))), MARK(x0)) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1))), MARK(from(z0))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1))), MARK(0)) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbls(x1))) -> c17(A__SEL(nil, a__dbls(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbls(x1))) -> c17(A__SEL(cons(z0, z1), a__dbls(mark(x1))), MARK(cons(z0, z1))) ---------------------------------------- (224) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), 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A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), 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c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, 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a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), 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MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(x1))) -> c17(A__SEL(mark(x0), dbls(mark(x1))), MARK(x0)) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1))), MARK(from(z0))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1))), MARK(0)) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbls(x1))) -> c17(A__SEL(nil, a__dbls(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbls(x1))) -> c17(A__SEL(cons(z0, z1), a__dbls(mark(x1))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) 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A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, 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MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> 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MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 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mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(x1))) -> c17(A__SEL(mark(x0), dbls(mark(x1))), MARK(x0)) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1))), MARK(from(z0))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1))), MARK(0)) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1))), MARK(s(z0))) MARK(sel(nil, dbls(x1))) -> c17(A__SEL(nil, a__dbls(mark(x1))), MARK(nil)) MARK(sel(cons(z0, z1), dbls(x1))) -> c17(A__SEL(cons(z0, z1), a__dbls(mark(x1))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (225) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), dbls(x1))) -> c17(A__SEL(cons(z0, z1), a__dbls(mark(x1))), MARK(cons(z0, z1))) MARK(sel(nil, dbls(x1))) -> c17(A__SEL(nil, a__dbls(mark(x1))), MARK(nil)) ---------------------------------------- (226) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> 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x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(x1))) -> c17(A__SEL(mark(x0), dbls(mark(x1))), MARK(x0)) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1))), MARK(from(z0))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1))), MARK(0)) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> 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MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(x1))) -> c17(A__SEL(mark(x0), dbls(mark(x1))), MARK(x0)) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1))), MARK(from(z0))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1))), MARK(0)) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (227) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (228) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), 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MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), 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c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), 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MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, 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x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, 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c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (229) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, sel(z0, z1))) -> c17(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(x0)) by MARK(sel(x0, sel(x1, x2))) -> c17(A__SEL(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2))), MARK(from(z0))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2))), MARK(0)) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2))), MARK(s(z0))) MARK(sel(nil, sel(x1, x2))) -> c17(A__SEL(nil, a__sel(mark(x1), mark(x2))), MARK(nil)) MARK(sel(cons(z0, z1), sel(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (230) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), 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MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2))), MARK(from(z0))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2))), MARK(0)) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2))), MARK(s(z0))) MARK(sel(nil, sel(x1, x2))) -> c17(A__SEL(nil, a__sel(mark(x1), mark(x2))), MARK(nil)) MARK(sel(cons(z0, z1), sel(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> 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cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, x2))) -> c17(A__SEL(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2))), MARK(from(z0))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2))), MARK(0)) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2))), MARK(s(z0))) MARK(sel(nil, sel(x1, x2))) -> c17(A__SEL(nil, a__sel(mark(x1), mark(x2))), MARK(nil)) MARK(sel(cons(z0, z1), sel(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (231) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(nil, sel(x1, x2))) -> c17(A__SEL(nil, a__sel(mark(x1), mark(x2))), MARK(nil)) MARK(sel(cons(z0, z1), sel(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) ---------------------------------------- (232) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> 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MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, 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x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 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x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, x2))) -> c17(A__SEL(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2))), MARK(from(z0))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2))), MARK(0)) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2))), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> 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c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), 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A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), 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z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, 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cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, x2))) -> c17(A__SEL(mark(x0), sel(mark(x1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2))), MARK(from(z0))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2))), MARK(0)) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2))), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (233) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (234) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), 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A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), 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z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), 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c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (235) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, indx(z0, z1))) -> c17(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(x0)) by MARK(sel(x0, indx(x1, z1))) -> c17(A__SEL(mark(x0), indx(mark(x1), z1)), MARK(x0)) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2)), MARK(from(z0))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2)), MARK(0)) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2)), MARK(s(z0))) MARK(sel(nil, indx(x1, x2))) -> c17(A__SEL(nil, a__indx(mark(x1), x2)), MARK(nil)) MARK(sel(cons(z0, z1), indx(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__indx(mark(x1), x2)), MARK(cons(z0, z1))) ---------------------------------------- (236) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> 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MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(x1, z1))) -> c17(A__SEL(mark(x0), indx(mark(x1), z1)), MARK(x0)) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2)), MARK(from(z0))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2)), MARK(0)) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2)), MARK(s(z0))) MARK(sel(nil, indx(x1, x2))) -> c17(A__SEL(nil, a__indx(mark(x1), x2)), MARK(nil)) MARK(sel(cons(z0, z1), indx(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__indx(mark(x1), x2)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> 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c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(x1, z1))) -> c17(A__SEL(mark(x0), indx(mark(x1), z1)), MARK(x0)) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2)), MARK(from(z0))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2)), MARK(0)) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2)), MARK(s(z0))) MARK(sel(nil, indx(x1, x2))) -> c17(A__SEL(nil, a__indx(mark(x1), x2)), MARK(nil)) MARK(sel(cons(z0, z1), indx(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__indx(mark(x1), x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (237) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), indx(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__indx(mark(x1), x2)), MARK(cons(z0, z1))) MARK(sel(nil, indx(x1, x2))) -> c17(A__SEL(nil, a__indx(mark(x1), x2)), MARK(nil)) ---------------------------------------- (238) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, 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a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> 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c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(x1, z1))) -> c17(A__SEL(mark(x0), indx(mark(x1), z1)), MARK(x0)) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2)), MARK(from(z0))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2)), MARK(0)) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), 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A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(x1, z1))) -> c17(A__SEL(mark(x0), indx(mark(x1), z1)), MARK(x0)) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2)), MARK(from(z0))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2)), MARK(0)) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (239) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (240) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, 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cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (241) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), a__from(z0)), MARK(x0)) by MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), from(z0)), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1)), MARK(from(z0))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1)), MARK(0)) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1)), MARK(s(z0))) MARK(sel(nil, from(x1))) -> c17(A__SEL(nil, a__from(x1)), MARK(nil)) MARK(sel(cons(z0, z1), from(x1))) -> c17(A__SEL(cons(z0, z1), a__from(x1)), MARK(cons(z0, z1))) ---------------------------------------- (242) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), 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c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> 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sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), 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a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 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c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), from(z0)), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1)), MARK(from(z0))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1)), MARK(0)) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1)), MARK(s(z0))) MARK(sel(nil, from(x1))) -> c17(A__SEL(nil, a__from(x1)), MARK(nil)) MARK(sel(cons(z0, z1), from(x1))) -> c17(A__SEL(cons(z0, z1), a__from(x1)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) 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a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), 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a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), from(z0)), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1)), MARK(from(z0))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1)), MARK(0)) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1)), MARK(s(z0))) MARK(sel(nil, from(x1))) -> c17(A__SEL(nil, a__from(x1)), MARK(nil)) MARK(sel(cons(z0, z1), from(x1))) -> c17(A__SEL(cons(z0, z1), a__from(x1)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (243) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), from(x1))) -> c17(A__SEL(cons(z0, z1), a__from(x1)), MARK(cons(z0, z1))) MARK(sel(nil, from(x1))) -> c17(A__SEL(nil, a__from(x1)), MARK(nil)) ---------------------------------------- (244) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), 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c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), 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A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), from(z0)), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1)), MARK(from(z0))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1)), MARK(0)) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), from(z0)), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1)), MARK(from(z0))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1)), MARK(0)) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (245) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (246) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), 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cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> 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c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (247) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(x0, cons(z0, z1))) -> c17(A__SEL(mark(x0), cons(z0, z1)), MARK(x0)) by MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2)), MARK(from(z0))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2)), MARK(0)) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2)), MARK(s(z0))) MARK(sel(nil, cons(x1, x2))) -> c17(A__SEL(nil, cons(x1, x2)), MARK(nil)) MARK(sel(cons(z0, z1), cons(x1, x2))) -> c17(A__SEL(cons(z0, z1), cons(x1, x2)), MARK(cons(z0, z1))) ---------------------------------------- (248) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), 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MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2)), MARK(from(z0))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2)), MARK(0)) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2)), MARK(s(z0))) MARK(sel(nil, cons(x1, x2))) -> c17(A__SEL(nil, cons(x1, x2)), MARK(nil)) MARK(sel(cons(z0, z1), cons(x1, x2))) -> c17(A__SEL(cons(z0, z1), cons(x1, x2)), MARK(cons(z0, z1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, 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A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), 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MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> 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c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2)), MARK(from(z0))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2)), MARK(0)) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2)), MARK(s(z0))) MARK(sel(nil, cons(x1, x2))) -> c17(A__SEL(nil, cons(x1, x2)), MARK(nil)) MARK(sel(cons(z0, z1), cons(x1, x2))) -> c17(A__SEL(cons(z0, z1), cons(x1, x2)), MARK(cons(z0, z1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (249) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), cons(x1, x2))) -> c17(A__SEL(cons(z0, z1), cons(x1, x2)), MARK(cons(z0, z1))) MARK(sel(nil, cons(x1, x2))) -> c17(A__SEL(nil, cons(x1, x2)), MARK(nil)) ---------------------------------------- (250) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2)), MARK(from(z0))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2)), MARK(0)) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2)), MARK(s(z0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), 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z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), 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A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> 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A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2)), MARK(from(z0))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2)), MARK(0)) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2)), MARK(s(z0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (251) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (252) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, 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x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) 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MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (253) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(dbl(z0), x1)) -> c17(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(dbl(z0))) by MARK(sel(dbl(x0), dbl(z0))) -> c17(A__SEL(a__dbl(mark(x0)), a__dbl(mark(z0))), MARK(dbl(x0))) MARK(sel(dbl(x0), dbls(z0))) -> c17(A__SEL(a__dbl(mark(x0)), a__dbls(mark(z0))), MARK(dbl(x0))) MARK(sel(dbl(x0), sel(z0, z1))) -> c17(A__SEL(a__dbl(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(dbl(x0))) MARK(sel(dbl(x0), indx(z0, z1))) -> c17(A__SEL(a__dbl(mark(x0)), a__indx(mark(z0), z1)), MARK(dbl(x0))) MARK(sel(dbl(x0), from(z0))) -> c17(A__SEL(a__dbl(mark(x0)), a__from(z0)), MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) MARK(sel(dbl(x0), cons(z0, z1))) -> c17(A__SEL(a__dbl(mark(x0)), cons(z0, z1)), MARK(dbl(x0))) MARK(sel(dbl(x0), x1)) -> c17(A__SEL(dbl(mark(x0)), mark(x1)), MARK(dbl(x0))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) ---------------------------------------- (254) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), 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c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, 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c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, 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c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(x0), 0)) -> c17(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) MARK(sel(dbl(x0), x1)) -> c17(A__SEL(dbl(mark(x0)), mark(x1)), MARK(dbl(x0))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) 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A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> 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A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(x0), 0)) -> c17(A__SEL(a__dbl(mark(x0)), 0), MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(A__SEL(a__dbl(mark(x0)), nil), MARK(dbl(x0))) MARK(sel(dbl(x0), x1)) -> c17(A__SEL(dbl(mark(x0)), mark(x1)), MARK(dbl(x0))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (255) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (256) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) 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c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), 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indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, 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cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> 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MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> 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A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, 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MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (257) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(dbls(z0), x1)) -> c17(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(dbls(z0))) by MARK(sel(dbls(x0), dbl(z0))) -> c17(A__SEL(a__dbls(mark(x0)), a__dbl(mark(z0))), MARK(dbls(x0))) MARK(sel(dbls(x0), dbls(z0))) -> c17(A__SEL(a__dbls(mark(x0)), a__dbls(mark(z0))), MARK(dbls(x0))) MARK(sel(dbls(x0), sel(z0, z1))) -> c17(A__SEL(a__dbls(mark(x0)), a__sel(mark(z0), mark(z1))), MARK(dbls(x0))) MARK(sel(dbls(x0), indx(z0, z1))) -> c17(A__SEL(a__dbls(mark(x0)), a__indx(mark(z0), z1)), MARK(dbls(x0))) MARK(sel(dbls(x0), from(z0))) -> c17(A__SEL(a__dbls(mark(x0)), a__from(z0)), MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(A__SEL(a__dbls(mark(x0)), 0), MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(A__SEL(a__dbls(mark(x0)), nil), MARK(dbls(x0))) MARK(sel(dbls(x0), cons(z0, z1))) -> c17(A__SEL(a__dbls(mark(x0)), cons(z0, z1)), MARK(dbls(x0))) MARK(sel(dbls(x0), x1)) -> c17(A__SEL(dbls(mark(x0)), mark(x1)), MARK(dbls(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) ---------------------------------------- (258) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), 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A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), 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MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), 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x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), 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mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(x0), 0)) -> c17(A__SEL(a__dbls(mark(x0)), 0), MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(A__SEL(a__dbls(mark(x0)), s(z0)), MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(A__SEL(a__dbls(mark(x0)), nil), MARK(dbls(x0))) MARK(sel(dbls(x0), x1)) -> c17(A__SEL(dbls(mark(x0)), mark(x1)), MARK(dbls(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (259) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (260) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> 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MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), 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A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), 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dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, 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mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, 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MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), 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MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 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MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, 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x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, 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a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (261) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(sel(z0, z1), x1)) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(sel(z0, z1))) by MARK(sel(sel(x0, x1), dbl(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), a__dbl(mark(z0))), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), dbls(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), a__dbls(mark(z0))), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), sel(z0, z1))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), a__sel(mark(z0), mark(z1))), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), indx(z0, z1))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), a__indx(mark(z0), z1)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), from(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), 0)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), cons(z0, z1))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(A__SEL(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) ---------------------------------------- (262) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), 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c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, 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c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), 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MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, x1), 0)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(A__SEL(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), 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sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), 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a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 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c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, x1), 0)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), 0), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), s(z0)), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(A__SEL(a__sel(mark(x0), mark(x1)), nil), MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(A__SEL(sel(mark(x0), mark(x1)), mark(x2)), MARK(sel(x0, x1))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (263) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (264) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) 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MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> 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c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), 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A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_2, c17_1, c18_2, c18_1, c7_2, c8_2 ---------------------------------------- (265) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(indx(z0, z1), x1)) -> c17(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(indx(z0, z1))) by MARK(sel(indx(x0, x1), dbl(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), a__dbl(mark(z0))), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), dbls(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), a__dbls(mark(z0))), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), sel(z0, z1))) -> c17(A__SEL(a__indx(mark(x0), x1), a__sel(mark(z0), mark(z1))), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), indx(z0, z1))) -> c17(A__SEL(a__indx(mark(x0), x1), a__indx(mark(z0), z1)), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), from(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), a__from(z0)), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), cons(z0, z1))) -> c17(A__SEL(a__indx(mark(x0), x1), cons(z0, z1)), MARK(indx(x0, x1))) MARK(sel(indx(x0, z1), x2)) -> c17(A__SEL(indx(mark(x0), z1), mark(x2)), MARK(indx(x0, z1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) ---------------------------------------- (266) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 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dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) MARK(sel(indx(x0, z1), x2)) -> c17(A__SEL(indx(mark(x0), z1), mark(x2)), MARK(indx(x0, z1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(A__SEL(a__indx(mark(x0), x1), 0), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(A__SEL(a__indx(mark(x0), x1), s(z0)), MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(A__SEL(a__indx(mark(x0), x1), nil), MARK(indx(x0, x1))) MARK(sel(indx(x0, z1), x2)) -> c17(A__SEL(indx(mark(x0), z1), mark(x2)), MARK(indx(x0, z1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2 ---------------------------------------- (267) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (268) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> 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MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> 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MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), 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x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), 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A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) 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z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2 ---------------------------------------- (269) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(from(z0), x1)) -> c17(A__SEL(a__from(z0), mark(x1))) by MARK(sel(from(x0), dbl(z0))) -> c17(A__SEL(a__from(x0), a__dbl(mark(z0)))) MARK(sel(from(x0), dbls(z0))) -> c17(A__SEL(a__from(x0), a__dbls(mark(z0)))) MARK(sel(from(x0), sel(z0, z1))) -> c17(A__SEL(a__from(x0), a__sel(mark(z0), mark(z1)))) MARK(sel(from(x0), indx(z0, z1))) -> c17(A__SEL(a__from(x0), a__indx(mark(z0), z1))) MARK(sel(from(x0), from(z0))) -> c17(A__SEL(a__from(x0), a__from(z0))) MARK(sel(from(x0), 0)) -> c17(A__SEL(a__from(x0), 0)) MARK(sel(from(x0), s(z0))) -> c17(A__SEL(a__from(x0), s(z0))) MARK(sel(from(x0), nil)) -> c17(A__SEL(a__from(x0), nil)) MARK(sel(from(x0), cons(z0, z1))) -> c17(A__SEL(a__from(x0), cons(z0, z1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(cons(z0, from(s(z0))), mark(x1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(from(z0), mark(x1))) ---------------------------------------- (270) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) 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A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), 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a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), 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MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) MARK(sel(from(x0), 0)) -> c17(A__SEL(a__from(x0), 0)) MARK(sel(from(x0), s(z0))) -> c17(A__SEL(a__from(x0), s(z0))) MARK(sel(from(x0), nil)) -> c17(A__SEL(a__from(x0), nil)) MARK(sel(from(z0), x1)) -> c17(A__SEL(cons(z0, from(s(z0))), mark(x1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(from(z0), mark(x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) 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c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, 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MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) MARK(sel(from(x0), 0)) -> c17(A__SEL(a__from(x0), 0)) MARK(sel(from(x0), s(z0))) -> c17(A__SEL(a__from(x0), s(z0))) MARK(sel(from(x0), nil)) -> c17(A__SEL(a__from(x0), nil)) MARK(sel(from(z0), x1)) -> c17(A__SEL(cons(z0, from(s(z0))), mark(x1))) MARK(sel(from(z0), x1)) -> c17(A__SEL(from(z0), mark(x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2 ---------------------------------------- (271) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing nodes: MARK(sel(from(x0), nil)) -> c17(A__SEL(a__from(x0), nil)) MARK(sel(from(z0), x1)) -> c17(A__SEL(cons(z0, from(s(z0))), mark(x1))) MARK(sel(from(x0), s(z0))) -> c17(A__SEL(a__from(x0), s(z0))) MARK(sel(from(z0), x1)) -> c17(A__SEL(from(z0), mark(x1))) MARK(sel(from(x0), 0)) -> c17(A__SEL(a__from(x0), 0)) ---------------------------------------- (272) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c7(MARK(dbls(x0))) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(sel(x0, dbl(z0)))) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(sel(x0, dbls(z0)))) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(sel(x0, sel(z0, z1)))) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(sel(x0, indx(z0, z1)))) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(sel(x0, from(z0)))) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(sel(x0, 0))) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(sel(x0, s(z0)))) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(sel(x0, nil))) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c7(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(sel(x0, cons(z0, z1)))) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbl(z0), x1))) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(sel(dbls(z0), x1))) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(sel(sel(z0, z1), x1))) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(sel(indx(z0, z1), x1))) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(sel(from(z0), x1))) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(sel(0, x1))) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(sel(s(z0), x1))) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(sel(nil, x1))) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(sel(cons(z0, z1), x1))) A__SEL(s(sel(x0, x1)), cons(x2, 0)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, s(z0))) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), 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z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, 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cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, 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MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2 ---------------------------------------- (273) CdtNarrowingProof (BOTH BOUNDS(ID, ID)) Use narrowing to replace MARK(sel(0, x1)) -> c17(A__SEL(0, mark(x1))) by MARK(sel(0, dbl(z0))) -> c17(A__SEL(0, a__dbl(mark(z0)))) MARK(sel(0, dbls(z0))) -> c17(A__SEL(0, a__dbls(mark(z0)))) MARK(sel(0, sel(z0, z1))) -> c17(A__SEL(0, a__sel(mark(z0), mark(z1)))) MARK(sel(0, indx(z0, z1))) -> c17(A__SEL(0, a__indx(mark(z0), z1))) MARK(sel(0, from(z0))) -> c17(A__SEL(0, a__from(z0))) MARK(sel(0, 0)) -> c17(A__SEL(0, 0)) MARK(sel(0, s(z0))) -> c17(A__SEL(0, s(z0))) MARK(sel(0, nil)) -> c17(A__SEL(0, nil)) MARK(sel(0, cons(z0, z1))) -> c17(A__SEL(0, cons(z0, z1))) ---------------------------------------- (274) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, 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A__SEL(s(sel(x0, x1)), cons(x2, nil)) -> c7(MARK(sel(x0, x1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c7(MARK(sel(x0, x1))) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(indx(dbl(z0), x1))) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(indx(dbls(z0), x1))) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(indx(sel(z0, z1), x1))) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(indx(indx(z0, z1), x1))) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(indx(from(z0), x1))) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(0, x1), mark(x3)), MARK(indx(0, x1))) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(indx(s(z0), x1))) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(nil, x1), mark(x3)), MARK(indx(nil, x1))) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c7(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(indx(cons(z0, z1), x1))) A__SEL(s(indx(x0, x1)), cons(x2, x3)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, 0)) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, s(z0))) -> c7(MARK(indx(x0, x1))) A__SEL(s(indx(x0, x1)), cons(x2, nil)) -> c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, nil)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), nil), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, cons(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(0, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(s(z0), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(nil, mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), a__from(z0))) A__SEL(s(sel(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__sel(mark(x0), mark(x1)), cons(z0, z1))) A__SEL(s(sel(x0, x1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(indx(dbl(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(dbls(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(sel(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(indx(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(from(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(a__from(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(0, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(0, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(s(z0), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(s(z0), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(nil, x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(nil, x1), mark(x3)), MARK(x3)) A__SEL(s(indx(cons(z0, z1), x1)), cons(x2, x3)) -> c8(A__SEL(a__indx(cons(z0, z1), x1), mark(x3)), MARK(x3)) A__SEL(s(indx(x0, x1)), cons(x2, from(z0))) -> c8(A__SEL(a__indx(mark(x0), x1), a__from(z0))) A__SEL(s(indx(x0, x1)), cons(x2, cons(z0, z1))) -> c8(A__SEL(a__indx(mark(x0), x1), cons(z0, z1))) A__SEL(s(indx(x0, z1)), cons(x2, x3)) -> c8(MARK(x3)) A__SEL(s(from(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__from(x0), a__from(z0))) A__SEL(s(from(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__from(x0), cons(z0, z1))) A__SEL(s(from(z0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(0), cons(x0, from(z0))) -> c8(A__SEL(0, a__from(z0))) A__SEL(s(0), cons(x0, cons(z0, z1))) -> c8(A__SEL(0, cons(z0, z1))) A__SEL(s(s(x0)), cons(x1, from(z0))) -> c8(A__SEL(s(x0), a__from(z0))) A__SEL(s(s(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(s(x0), cons(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c8(A__SEL(mark(x0), cons(z0, from(s(z0))))) MARK(sel(x0, dbl(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbl(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbl(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbl(from(z0)))) -> c17(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) MARK(sel(x0, dbl(0))) -> c17(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) MARK(sel(x0, dbl(s(z0)))) -> c17(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) MARK(sel(x0, dbl(nil))) -> c17(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) MARK(sel(x0, dbl(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbl(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbl(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbl(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbl(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbl(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbl(x1))) -> c17(A__SEL(a__from(z0), a__dbl(mark(x1)))) MARK(sel(0, dbl(x1))) -> c17(A__SEL(0, a__dbl(mark(x1)))) MARK(sel(s(z0), dbl(x1))) -> c17(A__SEL(s(z0), a__dbl(mark(x1)))) MARK(sel(x0, dbls(dbl(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(dbls(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, dbls(sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, dbls(indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, dbls(from(z0)))) -> c17(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) MARK(sel(x0, dbls(0))) -> c17(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) MARK(sel(x0, dbls(s(z0)))) -> c17(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) MARK(sel(x0, dbls(nil))) -> c17(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) MARK(sel(x0, dbls(cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) MARK(sel(dbl(z0), dbls(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x1))), MARK(dbl(z0))) MARK(sel(dbls(z0), dbls(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x1))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), dbls(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x1))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), dbls(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x1))), MARK(indx(z0, z1))) MARK(sel(x0, dbls(x1))) -> c17(MARK(x0)) MARK(sel(from(z0), dbls(x1))) -> c17(A__SEL(a__from(z0), a__dbls(mark(x1)))) MARK(sel(0, dbls(x1))) -> c17(A__SEL(0, a__dbls(mark(x1)))) MARK(sel(s(z0), dbls(x1))) -> c17(A__SEL(s(z0), a__dbls(mark(x1)))) MARK(sel(x0, sel(x1, dbl(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbl(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, dbls(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__dbls(mark(z0)))), MARK(x0)) MARK(sel(x0, sel(x1, sel(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__sel(mark(z0), mark(z1)))), MARK(x0)) MARK(sel(x0, sel(x1, indx(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__indx(mark(z0), z1))), MARK(x0)) MARK(sel(x0, sel(x1, from(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), a__from(z0))), MARK(x0)) MARK(sel(x0, sel(x1, 0))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), 0)), MARK(x0)) MARK(sel(x0, sel(x1, s(z0)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), s(z0))), MARK(x0)) MARK(sel(x0, sel(x1, nil))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), nil)), MARK(x0)) MARK(sel(x0, sel(x1, cons(z0, z1)))) -> c17(A__SEL(mark(x0), a__sel(mark(x1), cons(z0, z1))), MARK(x0)) MARK(sel(x0, sel(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x2))), MARK(x0)) MARK(sel(x0, sel(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x2))), MARK(x0)) MARK(sel(x0, sel(from(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(a__from(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(0, x2))) -> c17(A__SEL(mark(x0), a__sel(0, mark(x2))), MARK(x0)) MARK(sel(x0, sel(s(z0), x2))) -> c17(A__SEL(mark(x0), a__sel(s(z0), mark(x2))), MARK(x0)) MARK(sel(x0, sel(nil, x2))) -> c17(A__SEL(mark(x0), a__sel(nil, mark(x2))), MARK(x0)) MARK(sel(x0, sel(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x2))), MARK(x0)) MARK(sel(dbl(z0), sel(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbl(z0))) MARK(sel(dbls(z0), sel(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__sel(mark(x1), mark(x2))), MARK(dbls(z0))) MARK(sel(sel(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x1), mark(x2))), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), sel(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x1), mark(x2))), MARK(indx(z0, z1))) MARK(sel(x0, sel(x1, x2))) -> c17(MARK(x0)) MARK(sel(from(z0), sel(x1, x2))) -> c17(A__SEL(a__from(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(0, sel(x1, x2))) -> c17(A__SEL(0, a__sel(mark(x1), mark(x2)))) MARK(sel(s(z0), sel(x1, x2))) -> c17(A__SEL(s(z0), a__sel(mark(x1), mark(x2)))) MARK(sel(x0, indx(dbl(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(dbls(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x2)), MARK(x0)) MARK(sel(x0, indx(sel(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x2)), MARK(x0)) MARK(sel(x0, indx(indx(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x2)), MARK(x0)) MARK(sel(x0, indx(from(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(a__from(z0), x2)), MARK(x0)) MARK(sel(x0, indx(0, x2))) -> c17(A__SEL(mark(x0), a__indx(0, x2)), MARK(x0)) MARK(sel(x0, indx(s(z0), x2))) -> c17(A__SEL(mark(x0), a__indx(s(z0), x2)), MARK(x0)) MARK(sel(x0, indx(nil, x2))) -> c17(A__SEL(mark(x0), a__indx(nil, x2)), MARK(x0)) MARK(sel(x0, indx(cons(z0, z1), x2))) -> c17(A__SEL(mark(x0), a__indx(cons(z0, z1), x2)), MARK(x0)) MARK(sel(dbl(z0), indx(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), a__indx(mark(x1), x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), indx(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), a__indx(mark(x1), x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x1), x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), indx(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x1), x2)), MARK(indx(z0, z1))) MARK(sel(x0, indx(x1, z1))) -> c17(MARK(x0)) MARK(sel(from(z0), indx(x1, x2))) -> c17(A__SEL(a__from(z0), a__indx(mark(x1), x2))) MARK(sel(0, indx(x1, x2))) -> c17(A__SEL(0, a__indx(mark(x1), x2))) MARK(sel(s(z0), indx(x1, x2))) -> c17(A__SEL(s(z0), a__indx(mark(x1), x2))) MARK(sel(x0, from(z0))) -> c17(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) MARK(sel(dbl(z0), from(x1))) -> c17(A__SEL(a__dbl(mark(z0)), a__from(x1)), MARK(dbl(z0))) MARK(sel(dbls(z0), from(x1))) -> c17(A__SEL(a__dbls(mark(z0)), a__from(x1)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), from(x1))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x1)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), from(x1))) -> c17(A__SEL(a__indx(mark(z0), z1), a__from(x1)), MARK(indx(z0, z1))) MARK(sel(x0, from(z0))) -> c17(MARK(x0)) MARK(sel(from(z0), from(x1))) -> c17(A__SEL(a__from(z0), a__from(x1))) MARK(sel(0, from(x1))) -> c17(A__SEL(0, a__from(x1))) MARK(sel(s(z0), from(x1))) -> c17(A__SEL(s(z0), a__from(x1))) MARK(sel(dbl(z0), cons(x1, x2))) -> c17(A__SEL(a__dbl(mark(z0)), cons(x1, x2)), MARK(dbl(z0))) MARK(sel(dbls(z0), cons(x1, x2))) -> c17(A__SEL(a__dbls(mark(z0)), cons(x1, x2)), MARK(dbls(z0))) MARK(sel(sel(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__sel(mark(z0), mark(z1)), cons(x1, x2)), MARK(sel(z0, z1))) MARK(sel(indx(z0, z1), cons(x1, x2))) -> c17(A__SEL(a__indx(mark(z0), z1), cons(x1, x2)), MARK(indx(z0, z1))) MARK(sel(from(z0), cons(x1, x2))) -> c17(A__SEL(a__from(z0), cons(x1, x2))) MARK(sel(0, cons(x1, x2))) -> c17(A__SEL(0, cons(x1, x2))) MARK(sel(s(z0), cons(x1, x2))) -> c17(A__SEL(s(z0), cons(x1, x2))) MARK(sel(dbl(dbl(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x1)), MARK(dbl(dbl(z0)))) MARK(sel(dbl(dbls(z0)), x1)) -> c17(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x1)), MARK(dbl(dbls(z0)))) MARK(sel(dbl(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) MARK(sel(0, 0)) -> c17(A__SEL(0, 0)) MARK(sel(0, s(z0))) -> c17(A__SEL(0, s(z0))) MARK(sel(0, nil)) -> c17(A__SEL(0, nil)) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) 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MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, indx(x2, z1))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), 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MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), 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c7(MARK(indx(x0, x1))) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) 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MARK(dbl(sel(z0, z1)))) MARK(sel(dbl(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x1)), MARK(dbl(indx(z0, z1)))) MARK(sel(dbl(from(z0)), x1)) -> c17(A__SEL(a__dbl(a__from(z0)), mark(x1)), MARK(dbl(from(z0)))) MARK(sel(dbl(0), x1)) -> c17(A__SEL(a__dbl(0), mark(x1)), MARK(dbl(0))) MARK(sel(dbl(s(z0)), x1)) -> c17(A__SEL(a__dbl(s(z0)), mark(x1)), MARK(dbl(s(z0)))) MARK(sel(dbl(nil), x1)) -> c17(A__SEL(a__dbl(nil), mark(x1)), MARK(dbl(nil))) MARK(sel(dbl(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbl(cons(z0, z1)), mark(x1)), MARK(dbl(cons(z0, z1)))) MARK(sel(dbl(x0), x1)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), 0)) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), s(z0))) -> c17(MARK(dbl(x0))) MARK(sel(dbl(x0), nil)) -> c17(MARK(dbl(x0))) MARK(sel(dbls(dbl(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x1)), MARK(dbls(dbl(z0)))) MARK(sel(dbls(dbls(z0)), x1)) -> c17(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x1)), MARK(dbls(dbls(z0)))) MARK(sel(dbls(sel(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x1)), MARK(dbls(sel(z0, z1)))) MARK(sel(dbls(indx(z0, z1)), x1)) -> c17(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x1)), MARK(dbls(indx(z0, z1)))) MARK(sel(dbls(from(z0)), x1)) -> c17(A__SEL(a__dbls(a__from(z0)), mark(x1)), MARK(dbls(from(z0)))) MARK(sel(dbls(0), x1)) -> c17(A__SEL(a__dbls(0), mark(x1)), MARK(dbls(0))) MARK(sel(dbls(s(z0)), x1)) -> c17(A__SEL(a__dbls(s(z0)), mark(x1)), MARK(dbls(s(z0)))) MARK(sel(dbls(nil), x1)) -> c17(A__SEL(a__dbls(nil), mark(x1)), MARK(dbls(nil))) MARK(sel(dbls(cons(z0, z1)), x1)) -> c17(A__SEL(a__dbls(cons(z0, z1)), mark(x1)), MARK(dbls(cons(z0, z1)))) MARK(sel(dbls(x0), x1)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), 0)) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), s(z0))) -> c17(MARK(dbls(x0))) MARK(sel(dbls(x0), nil)) -> c17(MARK(dbls(x0))) MARK(sel(sel(x0, dbl(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x2)), MARK(sel(x0, dbl(z0)))) MARK(sel(sel(x0, dbls(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x2)), MARK(sel(x0, dbls(z0)))) MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) MARK(sel(0, 0)) -> c17(A__SEL(0, 0)) MARK(sel(0, s(z0))) -> c17(A__SEL(0, s(z0))) MARK(sel(0, nil)) -> c17(A__SEL(0, nil)) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2 ---------------------------------------- (275) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(sel(0, nil)) -> c17(A__SEL(0, nil)) MARK(sel(0, s(z0))) -> c17(A__SEL(0, s(z0))) MARK(sel(0, 0)) -> c17(A__SEL(0, 0)) ---------------------------------------- (276) Obligation: Complexity Dependency Tuples Problem Rules: a__dbl(0) -> 0 a__dbl(s(z0)) -> s(s(dbl(z0))) a__dbl(z0) -> dbl(z0) a__dbls(nil) -> nil a__dbls(cons(z0, z1)) -> cons(dbl(z0), dbls(z1)) a__dbls(z0) -> dbls(z0) a__sel(0, cons(z0, z1)) -> mark(z0) a__sel(s(z0), cons(z1, z2)) -> a__sel(mark(z0), mark(z2)) a__sel(z0, z1) -> sel(z0, z1) a__indx(nil, z0) -> nil a__indx(cons(z0, z1), z2) -> cons(sel(z0, z2), indx(z1, z2)) a__indx(z0, z1) -> indx(z0, z1) a__from(z0) -> cons(z0, from(s(z0))) a__from(z0) -> from(z0) mark(dbl(z0)) -> a__dbl(mark(z0)) mark(dbls(z0)) -> a__dbls(mark(z0)) mark(sel(z0, z1)) -> a__sel(mark(z0), mark(z1)) mark(indx(z0, z1)) -> a__indx(mark(z0), z1) mark(from(z0)) -> a__from(z0) mark(0) -> 0 mark(s(z0)) -> s(z0) mark(nil) -> nil mark(cons(z0, z1)) -> cons(z0, z1) Tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), 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c7(A__SEL(a__from(z0), a__indx(mark(x2), x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c7(A__SEL(0, a__indx(mark(x2), x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(s(z0), a__indx(mark(x2), x3))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(A__SEL(mark(x0), cons(z0, from(s(z0)))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__from(x2)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__from(x2)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__from(x2)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, from(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__from(x2)), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, from(z0))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, from(x2))) -> c7(A__SEL(a__from(z0), a__from(x2))) A__SEL(s(0), cons(x1, from(x2))) -> c7(A__SEL(0, a__from(x2))) A__SEL(s(s(z0)), cons(x1, from(x2))) -> c7(A__SEL(s(z0), a__from(x2))) A__SEL(s(dbl(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), cons(x2, x3)), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), cons(x2, x3)), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), cons(x2, x3)), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), cons(x2, x3)), MARK(indx(z0, z1))) A__SEL(s(from(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(a__from(z0), cons(x2, x3))) A__SEL(s(0), cons(x1, cons(x2, x3))) -> c7(A__SEL(0, cons(x2, x3))) A__SEL(s(s(z0)), cons(x1, cons(x2, x3))) -> c7(A__SEL(s(z0), cons(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(dbl(dbl(z0)))) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(dbl(dbls(z0)))) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbl(sel(z0, z1)))) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(dbl(indx(z0, z1)))) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(dbl(from(z0)))) A__SEL(s(dbl(0)), cons(x1, x2)) -> c7(A__SEL(a__dbl(0), mark(x2)), MARK(dbl(0))) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(dbl(s(z0)))) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbl(nil), mark(x2)), MARK(dbl(nil))) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, 0)) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c7(MARK(dbl(x0))) A__SEL(s(dbl(x0)), cons(x1, nil)) -> c7(MARK(dbl(x0))) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(dbls(dbl(z0)))) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(dbls(dbls(z0)))) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(dbls(sel(z0, z1)))) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(dbls(indx(z0, z1)))) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(dbls(from(z0)))) A__SEL(s(dbls(0)), cons(x1, x2)) -> c7(A__SEL(a__dbls(0), mark(x2)), MARK(dbls(0))) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c7(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(dbls(s(z0)))) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c7(A__SEL(a__dbls(nil), mark(x2)), MARK(dbls(nil))) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c7(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, 0)) -> c7(MARK(dbls(x0))) A__SEL(s(dbls(x0)), cons(x1, s(z0))) -> 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MARK(dbl(dbl(z0)))) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(dbl(dbls(z0)))) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(dbl(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(dbl(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c8(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(dbl(from(z0)))) A__SEL(s(x0), cons(x1, dbl(0))) -> c8(A__SEL(mark(x0), a__dbl(0)), MARK(dbl(0))) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c8(A__SEL(mark(x0), a__dbl(s(z0))), MARK(dbl(s(z0)))) A__SEL(s(x0), cons(x1, dbl(nil))) -> c8(A__SEL(mark(x0), a__dbl(nil)), MARK(dbl(nil))) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(dbl(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(a__from(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(0), cons(x1, dbl(x2))) -> c8(A__SEL(0, a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c8(A__SEL(s(z0), a__dbl(mark(x2))), MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c8(MARK(dbl(x2))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(dbls(dbl(z0)))) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(dbls(dbls(z0)))) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(dbls(sel(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(dbls(indx(z0, z1)))) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c8(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(dbls(from(z0)))) A__SEL(s(x0), cons(x1, dbls(0))) -> c8(A__SEL(mark(x0), a__dbls(0)), MARK(dbls(0))) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c8(A__SEL(mark(x0), a__dbls(s(z0))), MARK(dbls(s(z0)))) A__SEL(s(x0), cons(x1, dbls(nil))) -> c8(A__SEL(mark(x0), a__dbls(nil)), MARK(dbls(nil))) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(dbls(cons(z0, z1)))) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c8(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(a__from(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(0), cons(x1, dbls(x2))) -> c8(A__SEL(0, a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c8(A__SEL(s(z0), a__dbls(mark(x2))), MARK(dbls(x2))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(nil), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(cons(z0, z1)), cons(x1, dbls(x2))) -> c8(MARK(dbls(x2))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(sel(x2, dbl(z0)))) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(sel(x2, dbls(z0)))) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(sel(x2, sel(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(sel(x2, indx(z0, z1)))) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(sel(x2, from(z0)))) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(sel(x2, 0))) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(sel(0, x3))) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(sel(s(z0), x3))) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c8(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(sel(nil, x3))) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(sel(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c8(A__SEL(0, a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c8(A__SEL(s(z0), a__sel(mark(x2), mark(x3))), MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, sel(x2, x3))) -> c8(MARK(sel(x2, x3))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(indx(dbl(z0), x3))) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(indx(dbls(z0), x3))) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(indx(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(indx(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(indx(from(z0), x3))) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c8(A__SEL(mark(x0), a__indx(0, x3)), MARK(indx(0, x3))) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c8(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(indx(s(z0), x3))) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c8(A__SEL(mark(x0), a__indx(nil, x3)), MARK(indx(nil, x3))) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(indx(cons(z0, z1), x3))) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(dbls(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__dbls(mark(z0)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(sel(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__sel(mark(z0), mark(z1)), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(indx(z0, z1)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__indx(mark(z0), z1), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(from(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(a__from(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(0), cons(x1, indx(x2, x3))) -> c8(A__SEL(0, a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(s(z0)), cons(x1, indx(x2, x3))) -> c8(A__SEL(s(z0), a__indx(mark(x2), x3)), MARK(indx(x2, x3))) A__SEL(s(x0), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(nil), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(cons(z0, z1)), cons(x1, indx(x2, x3))) -> c8(MARK(indx(x2, x3))) A__SEL(s(dbl(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbl(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbl(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(0)), cons(x1, x2)) -> c8(A__SEL(a__dbl(0), mark(x2)), MARK(x2)) A__SEL(s(dbl(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbl(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbl(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbl(nil), mark(x2)), MARK(x2)) A__SEL(s(dbl(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbl(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbl(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbl(mark(x0)), a__from(z0))) A__SEL(s(dbl(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbl(mark(x0)), cons(z0, z1))) A__SEL(s(dbl(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(dbls(dbl(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbl(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(dbls(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__dbls(mark(z0))), mark(x2)), MARK(x2)) A__SEL(s(dbls(sel(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__sel(mark(z0), mark(z1))), mark(x2)), MARK(x2)) A__SEL(s(dbls(indx(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__indx(mark(z0), z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(from(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(a__from(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(0)), cons(x1, x2)) -> c8(A__SEL(a__dbls(0), mark(x2)), MARK(x2)) A__SEL(s(dbls(s(z0))), cons(x1, x2)) -> c8(A__SEL(a__dbls(s(z0)), mark(x2)), MARK(x2)) A__SEL(s(dbls(nil)), cons(x1, x2)) -> c8(A__SEL(a__dbls(nil), mark(x2)), MARK(x2)) A__SEL(s(dbls(cons(z0, z1))), cons(x1, x2)) -> c8(A__SEL(a__dbls(cons(z0, z1)), mark(x2)), MARK(x2)) A__SEL(s(dbls(x0)), cons(x1, from(z0))) -> c8(A__SEL(a__dbls(mark(x0)), a__from(z0))) A__SEL(s(dbls(x0)), cons(x1, cons(z0, z1))) -> c8(A__SEL(a__dbls(mark(x0)), cons(z0, z1))) A__SEL(s(dbls(x0)), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(sel(x0, dbl(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbl(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, dbls(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__dbls(mark(z0))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, sel(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, indx(z0, z1))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, from(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, 0)), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), 0), mark(x3)), MARK(x3)) A__SEL(s(sel(x0, s(z0))), cons(x2, x3)) -> c8(A__SEL(a__sel(mark(x0), s(z0)), mark(x3)), 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MARK(sel(sel(x0, sel(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__sel(mark(z0), mark(z1))), mark(x2)), MARK(sel(x0, sel(z0, z1)))) MARK(sel(sel(x0, indx(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__indx(mark(z0), z1)), mark(x2)), MARK(sel(x0, indx(z0, z1)))) MARK(sel(sel(x0, from(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), a__from(z0)), mark(x2)), MARK(sel(x0, from(z0)))) MARK(sel(sel(x0, 0), x2)) -> c17(A__SEL(a__sel(mark(x0), 0), mark(x2)), MARK(sel(x0, 0))) MARK(sel(sel(x0, s(z0)), x2)) -> c17(A__SEL(a__sel(mark(x0), s(z0)), mark(x2)), MARK(sel(x0, s(z0)))) MARK(sel(sel(x0, nil), x2)) -> c17(A__SEL(a__sel(mark(x0), nil), mark(x2)), MARK(sel(x0, nil))) MARK(sel(sel(x0, cons(z0, z1)), x2)) -> c17(A__SEL(a__sel(mark(x0), cons(z0, z1)), mark(x2)), MARK(sel(x0, cons(z0, z1)))) MARK(sel(sel(dbl(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbl(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbl(z0), x1))) MARK(sel(sel(dbls(z0), x1), x2)) -> c17(A__SEL(a__sel(a__dbls(mark(z0)), mark(x1)), mark(x2)), MARK(sel(dbls(z0), x1))) MARK(sel(sel(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__sel(mark(z0), mark(z1)), mark(x1)), mark(x2)), MARK(sel(sel(z0, z1), x1))) MARK(sel(sel(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(a__indx(mark(z0), z1), mark(x1)), mark(x2)), MARK(sel(indx(z0, z1), x1))) MARK(sel(sel(from(z0), x1), x2)) -> c17(A__SEL(a__sel(a__from(z0), mark(x1)), mark(x2)), MARK(sel(from(z0), x1))) MARK(sel(sel(0, x1), x2)) -> c17(A__SEL(a__sel(0, mark(x1)), mark(x2)), MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) S tuples: A__SEL(0, cons(z0, z1)) -> c6(MARK(z0)) MARK(dbl(z0)) -> c15(MARK(z0)) MARK(dbls(z0)) -> c16(MARK(z0)) MARK(indx(z0, z1)) -> c19(MARK(z0)) A__SEL(s(x0), cons(x1, 0)) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, s(z0))) -> c7(MARK(x0)) A__SEL(s(x0), cons(x1, nil)) -> c7(MARK(x0)) A__SEL(s(nil), cons(x1, x2)) -> c8(MARK(x2)) A__SEL(s(cons(z0, z1)), cons(x1, x2)) -> c8(MARK(x2)) MARK(sel(x0, 0)) -> c17(MARK(x0)) MARK(sel(x0, s(z0))) -> c17(MARK(x0)) MARK(sel(x0, nil)) -> c17(MARK(x0)) MARK(sel(s(z0), x1)) -> c17(A__SEL(s(z0), mark(x1))) MARK(sel(x0, dbl(z0))) -> c18(A__SEL(mark(x0), a__dbl(mark(z0))), MARK(dbl(z0))) MARK(sel(x0, dbls(z0))) -> c18(A__SEL(mark(x0), a__dbls(mark(z0))), MARK(dbls(z0))) MARK(sel(x0, sel(z0, z1))) -> c18(A__SEL(mark(x0), a__sel(mark(z0), mark(z1))), MARK(sel(z0, z1))) MARK(sel(x0, indx(z0, z1))) -> c18(A__SEL(mark(x0), a__indx(mark(z0), z1)), MARK(indx(z0, z1))) MARK(sel(dbl(z0), x1)) -> c18(A__SEL(a__dbl(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(dbls(z0), x1)) -> c18(A__SEL(a__dbls(mark(z0)), mark(x1)), MARK(x1)) MARK(sel(sel(z0, z1), x1)) -> c18(A__SEL(a__sel(mark(z0), mark(z1)), mark(x1)), MARK(x1)) MARK(sel(indx(z0, z1), x1)) -> c18(A__SEL(a__indx(mark(z0), z1), mark(x1)), MARK(x1)) MARK(sel(from(z0), x1)) -> c18(A__SEL(a__from(z0), mark(x1)), MARK(x1)) MARK(sel(0, x1)) -> c18(A__SEL(0, mark(x1)), MARK(x1)) MARK(sel(s(z0), x1)) -> c18(A__SEL(s(z0), mark(x1)), MARK(x1)) MARK(sel(x0, from(z0))) -> c18(A__SEL(mark(x0), a__from(z0))) MARK(sel(x0, cons(z0, z1))) -> c18(A__SEL(mark(x0), cons(z0, z1))) MARK(sel(nil, x1)) -> c18(MARK(x1)) MARK(sel(cons(z0, z1), x1)) -> c18(MARK(x1)) A__SEL(s(x0), cons(x1, dbl(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(from(z0)))) -> c7(A__SEL(mark(x0), a__dbl(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(0))) -> c7(A__SEL(mark(x0), a__dbl(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(s(z0)))) -> c7(A__SEL(mark(x0), a__dbl(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(nil))) -> c7(A__SEL(mark(x0), a__dbl(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbl(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbl(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbl(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbl(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbl(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbl(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbl(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(a__from(z0), a__dbl(mark(x2)))) A__SEL(s(0), cons(x1, dbl(x2))) -> c7(A__SEL(0, a__dbl(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbl(x2))) -> c7(A__SEL(s(z0), a__dbl(mark(x2)))) A__SEL(s(x0), cons(x1, dbls(dbl(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(dbls(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(from(z0)))) -> c7(A__SEL(mark(x0), a__dbls(a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(0))) -> c7(A__SEL(mark(x0), a__dbls(0)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(s(z0)))) -> c7(A__SEL(mark(x0), a__dbls(s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(nil))) -> c7(A__SEL(mark(x0), a__dbls(nil)), MARK(x0)) A__SEL(s(x0), cons(x1, dbls(cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__dbls(cons(z0, z1))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbl(mark(z0)), a__dbls(mark(x2))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__dbls(mark(z0)), a__dbls(mark(x2))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__dbls(mark(x2))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, dbls(x2))) -> c7(A__SEL(a__indx(mark(z0), z1), a__dbls(mark(x2))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, dbls(x2))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(a__from(z0), a__dbls(mark(x2)))) A__SEL(s(0), cons(x1, dbls(x2))) -> c7(A__SEL(0, a__dbls(mark(x2)))) A__SEL(s(s(z0)), cons(x1, dbls(x2))) -> c7(A__SEL(s(z0), a__dbls(mark(x2)))) A__SEL(s(x0), cons(x1, sel(x2, dbl(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbl(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, dbls(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__dbls(mark(z0)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, sel(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__sel(mark(z0), mark(z1)))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, indx(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__indx(mark(z0), z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, from(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), a__from(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, 0))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), 0)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, s(z0)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), s(z0))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(x0)) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c7(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c7(A__SEL(mark(x0), a__sel(0, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(s(z0), x3))) -> c7(A__SEL(mark(x0), a__sel(s(z0), mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(nil, x3))) -> c7(A__SEL(mark(x0), a__sel(nil, mark(x3))), MARK(x0)) A__SEL(s(x0), cons(x1, sel(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__sel(cons(z0, z1), mark(x3))), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbl(z0))) A__SEL(s(dbls(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__dbls(mark(z0)), a__sel(mark(x2), mark(x3))), MARK(dbls(z0))) A__SEL(s(sel(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__sel(mark(z0), mark(z1)), a__sel(mark(x2), mark(x3))), MARK(sel(z0, z1))) A__SEL(s(indx(z0, z1)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__indx(mark(z0), z1), a__sel(mark(x2), mark(x3))), MARK(indx(z0, z1))) A__SEL(s(x0), cons(x1, sel(x2, x3))) -> c7(MARK(x0)) A__SEL(s(from(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(a__from(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(0), cons(x1, sel(x2, x3))) -> c7(A__SEL(0, a__sel(mark(x2), mark(x3)))) A__SEL(s(s(z0)), cons(x1, sel(x2, x3))) -> c7(A__SEL(s(z0), a__sel(mark(x2), mark(x3)))) A__SEL(s(x0), cons(x1, indx(dbl(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbl(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(dbls(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__dbls(mark(z0)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(sel(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__sel(mark(z0), mark(z1)), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(indx(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(a__indx(mark(z0), z1), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(from(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(a__from(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(0, x3))) -> c7(A__SEL(mark(x0), a__indx(0, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(s(z0), x3))) -> c7(A__SEL(mark(x0), a__indx(s(z0), x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(nil, x3))) -> c7(A__SEL(mark(x0), a__indx(nil, x3)), MARK(x0)) A__SEL(s(x0), cons(x1, indx(cons(z0, z1), x3))) -> c7(A__SEL(mark(x0), a__indx(cons(z0, z1), x3)), MARK(x0)) A__SEL(s(dbl(z0)), cons(x1, indx(x2, x3))) -> c7(A__SEL(a__dbl(mark(z0)), a__indx(mark(x2), 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MARK(sel(x2, s(z0)))) A__SEL(s(x0), cons(x1, sel(x2, nil))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), nil)), MARK(sel(x2, nil))) A__SEL(s(x0), cons(x1, sel(x2, cons(z0, z1)))) -> c8(A__SEL(mark(x0), a__sel(mark(x2), cons(z0, z1))), MARK(sel(x2, cons(z0, z1)))) A__SEL(s(x0), cons(x1, sel(dbl(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbl(mark(z0)), mark(x3))), MARK(sel(dbl(z0), x3))) A__SEL(s(x0), cons(x1, sel(dbls(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__dbls(mark(z0)), mark(x3))), MARK(sel(dbls(z0), x3))) A__SEL(s(x0), cons(x1, sel(sel(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__sel(mark(z0), mark(z1)), mark(x3))), MARK(sel(sel(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(indx(z0, z1), x3))) -> c8(A__SEL(mark(x0), a__sel(a__indx(mark(z0), z1), mark(x3))), MARK(sel(indx(z0, z1), x3))) A__SEL(s(x0), cons(x1, sel(from(z0), x3))) -> c8(A__SEL(mark(x0), a__sel(a__from(z0), mark(x3))), MARK(sel(from(z0), x3))) A__SEL(s(x0), cons(x1, sel(0, x3))) -> c8(A__SEL(mark(x0), a__sel(0, 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MARK(sel(0, x1))) MARK(sel(sel(s(z0), x1), x2)) -> c17(A__SEL(a__sel(s(z0), mark(x1)), mark(x2)), MARK(sel(s(z0), x1))) MARK(sel(sel(nil, x1), x2)) -> c17(A__SEL(a__sel(nil, mark(x1)), mark(x2)), MARK(sel(nil, x1))) MARK(sel(sel(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__sel(cons(z0, z1), mark(x1)), mark(x2)), MARK(sel(cons(z0, z1), x1))) MARK(sel(sel(x0, x1), 0)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), s(z0))) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), nil)) -> c17(MARK(sel(x0, x1))) MARK(sel(sel(x0, x1), x2)) -> c17(MARK(sel(x0, x1))) MARK(sel(indx(dbl(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbl(mark(z0)), x1), mark(x2)), MARK(indx(dbl(z0), x1))) MARK(sel(indx(dbls(z0), x1), x2)) -> c17(A__SEL(a__indx(a__dbls(mark(z0)), x1), mark(x2)), MARK(indx(dbls(z0), x1))) MARK(sel(indx(sel(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__sel(mark(z0), mark(z1)), x1), mark(x2)), MARK(indx(sel(z0, z1), x1))) MARK(sel(indx(indx(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(a__indx(mark(z0), z1), x1), mark(x2)), MARK(indx(indx(z0, z1), x1))) MARK(sel(indx(from(z0), x1), x2)) -> c17(A__SEL(a__indx(a__from(z0), x1), mark(x2)), MARK(indx(from(z0), x1))) MARK(sel(indx(0, x1), x2)) -> c17(A__SEL(a__indx(0, x1), mark(x2)), MARK(indx(0, x1))) MARK(sel(indx(s(z0), x1), x2)) -> c17(A__SEL(a__indx(s(z0), x1), mark(x2)), MARK(indx(s(z0), x1))) MARK(sel(indx(nil, x1), x2)) -> c17(A__SEL(a__indx(nil, x1), mark(x2)), MARK(indx(nil, x1))) MARK(sel(indx(cons(z0, z1), x1), x2)) -> c17(A__SEL(a__indx(cons(z0, z1), x1), mark(x2)), MARK(indx(cons(z0, z1), x1))) MARK(sel(indx(x0, x1), x2)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), 0)) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), s(z0))) -> c17(MARK(indx(x0, x1))) MARK(sel(indx(x0, x1), nil)) -> c17(MARK(indx(x0, x1))) K tuples:none Defined Rule Symbols: a__dbl_1, a__dbls_1, a__sel_2, a__indx_2, a__from_1, mark_1 Defined Pair Symbols: A__SEL_2, MARK_1 Compound Symbols: c6_1, c15_1, c16_1, c19_1, c7_1, c8_1, c17_1, c18_2, c18_1, c7_2, c8_2, c17_2