KILLED proof of input_d72faQlJ5P.trs # AProVE Commit ID: aff8ecad908e01718a4c36e68d2e55d5e0f16e15 fuhs 20220216 unpublished The Runtime Complexity (parallel-innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF). (0) CpxTRS (1) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms] (2) CpxTRS (3) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms] (4) CpxTRS (5) RelTrsToWeightedTrsProof [UPPER BOUND(ID), 0 ms] (6) CpxWeightedTrs (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms] (8) CpxTypedWeightedTrs (9) CompletionProof [UPPER BOUND(ID), 0 ms] (10) CpxTypedWeightedCompleteTrs (11) NarrowingProof [BOTH BOUNDS(ID, ID), 38 ms] (12) CpxTypedWeightedCompleteTrs (13) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (14) CpxRNTS (15) InliningProof [UPPER BOUND(ID), 1134 ms] (16) CpxRNTS (17) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms] (18) CpxRNTS (19) CompletionProof [UPPER BOUND(ID), 0 ms] (20) CpxTypedWeightedCompleteTrs (21) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms] (22) CpxRNTS (23) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms] (24) CdtProblem (25) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (26) CdtProblem (27) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (28) CdtProblem (29) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 4 ms] (30) CdtProblem (31) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (32) CdtProblem (33) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (34) CdtProblem (35) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (36) CdtProblem (37) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (38) CdtProblem (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (40) CdtProblem (41) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (42) CdtProblem (43) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (44) CdtProblem (45) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (46) CdtProblem (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (48) CdtProblem (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (50) CdtProblem (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (52) CdtProblem (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1 ms] (54) CdtProblem (55) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (56) CdtProblem (57) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (58) CdtProblem (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms] (60) CdtProblem (61) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (62) CdtProblem (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (64) CdtProblem (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 58 ms] (66) CdtProblem (67) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (68) CdtProblem (69) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 20 ms] (70) CdtProblem (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 13 ms] (72) CdtProblem (73) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 11 ms] (74) CdtProblem (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (76) CdtProblem (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms] (78) CdtProblem (79) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (80) CdtProblem (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (82) CdtProblem (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (84) CdtProblem (85) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (86) CdtProblem (87) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (88) CdtProblem (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms] (90) CdtProblem (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms] (92) CdtProblem (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 85 ms] (94) CdtProblem (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (96) CdtProblem (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 125 ms] (98) CdtProblem (99) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 16 ms] (100) CdtProblem (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 120 ms] (102) CdtProblem (103) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (104) CdtProblem (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 69 ms] (106) CdtProblem (107) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (108) CdtProblem (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms] (110) CdtProblem (111) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (112) CdtProblem (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 29 ms] (114) CdtProblem (115) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (116) CdtProblem (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 119 ms] (118) CdtProblem (119) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 33 ms] (120) CdtProblem (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 98 ms] (122) CdtProblem (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (124) CdtProblem (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 173 ms] (126) CdtProblem (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (128) CdtProblem (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 182 ms] (130) CdtProblem (131) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 30 ms] (132) CdtProblem (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 213 ms] (134) CdtProblem (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 59 ms] (136) CdtProblem (137) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 26 ms] (138) CdtProblem (139) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 178 ms] (140) CdtProblem (141) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (142) CdtProblem (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 73 ms] (144) CdtProblem (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 335 ms] (146) CdtProblem (147) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms] (148) CdtProblem (149) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms] (150) CdtProblem (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 192 ms] (152) CdtProblem (153) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 68 ms] (154) CdtProblem (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 27 ms] (156) CdtProblem (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 118 ms] (158) CdtProblem (159) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 36 ms] (160) CdtProblem (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 77 ms] (162) CdtProblem (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 72 ms] (164) CdtProblem (165) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 61 ms] (166) CdtProblem (167) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 91 ms] (168) CdtProblem (169) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 141 ms] (170) CdtProblem (171) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 69 ms] (172) CdtProblem (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms] (174) CdtProblem (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 96 ms] (176) CdtProblem (177) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 21 ms] (178) CdtProblem (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 65 ms] (180) CdtProblem (181) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms] (182) CdtProblem (183) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 168 ms] (184) CdtProblem (185) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 86 ms] (186) CdtProblem (187) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 21 ms] (188) CdtProblem (189) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 230 ms] (190) CdtProblem (191) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 86 ms] (192) CdtProblem (193) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 27 ms] (194) CdtProblem (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 256 ms] (196) CdtProblem (197) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 103 ms] (198) CdtProblem (199) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 3 ms] (200) CdtProblem (201) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 337 ms] (202) CdtProblem (203) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 122 ms] (204) CdtProblem (205) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 103 ms] (206) CdtProblem (207) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 129 ms] (208) CdtProblem (209) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 91 ms] (210) CdtProblem (211) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 102 ms] (212) CdtProblem (213) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 166 ms] (214) CdtProblem (215) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 40 ms] (216) CdtProblem (217) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 60 ms] (218) CdtProblem (219) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 232 ms] (220) CdtProblem (221) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 28 ms] (222) CdtProblem (223) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 273 ms] (224) CdtProblem (225) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 39 ms] (226) CdtProblem (227) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 376 ms] (228) CdtProblem (229) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 23 ms] (230) CdtProblem (231) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 294 ms] (232) CdtProblem (233) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 100 ms] (234) CdtProblem (235) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 198 ms] (236) CdtProblem (237) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 135 ms] (238) CdtProblem (239) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 128 ms] (240) CdtProblem (241) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 143 ms] (242) 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) RelTrsToWeightedTrsProof (UPPER BOUND(ID)) Transformed relative TRS to weighted TRS ---------------------------------------- (6) Obligation: The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF). The TRS R consists of the following rules: a__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 ---------------------------------------- (7) TypeInferenceProof (BOTH BOUNDS(ID, ID)) Infered types. ---------------------------------------- (8) Obligation: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__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 ---------------------------------------- (9) CompletionProof (UPPER BOUND(ID)) The transformation into a RNTS is sound, since: (a) The obligation is a constructor system where every type has a constant constructor, (b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols: none (c) The following functions are completely defined: mark_1 a__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 ---------------------------------------- (10) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__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 ---------------------------------------- (11) NarrowingProof (BOTH BOUNDS(ID, ID)) Narrowed the inner basic terms of all right-hand sides by a single narrowing step. ---------------------------------------- (12) Obligation: Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is: Runtime Complexity Weighted TRS with Types. The TRS R consists of the following rules: a__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 ---------------------------------------- (13) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID)) Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction. The constant constructors are abstracted as follows: 0 => 0 nil => 1 ---------------------------------------- (14) 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 ---------------------------------------- (15) 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 ---------------------------------------- (16) 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 ---------------------------------------- (17) SimplificationProof (BOTH BOUNDS(ID, ID)) Simplified the RNTS by moving equalities from the constraints into the right-hand sides. ---------------------------------------- (18) 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 ---------------------------------------- (19) 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 ---------------------------------------- (20) 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 ---------------------------------------- (21) 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 ---------------------------------------- (22) 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. ---------------------------------------- (23) CpxTrsToCdtProof (UPPER BOUND(ID)) Converted Cpx (relative) TRS with rewrite strategy PARALLEL_INNERMOST to CDT ---------------------------------------- (24) 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 ---------------------------------------- (25) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 17 trailing nodes: MARK(from(z0)) -> c20(A__FROM(z0)) A__INDX(cons(z0, z1), z2) -> c11 A__DBLS(cons(z0, z1)) -> c4 A__SEL(z0, z1) -> c9 A__DBLS(z0) -> c5 A__DBLS(nil) -> c3 MARK(nil) -> c23 MARK(0) -> c21 MARK(s(z0)) -> c22 MARK(cons(z0, z1)) -> c24 A__FROM(z0) -> c13 A__INDX(nil, z0) -> c10 A__DBL(s(z0)) -> c1 A__DBL(z0) -> c2 A__INDX(z0, z1) -> c12 A__DBL(0) -> c A__FROM(z0) -> c14 ---------------------------------------- (26) 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 ---------------------------------------- (27) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (28) 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 ---------------------------------------- (29) 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))) ---------------------------------------- (30) 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 ---------------------------------------- (31) 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)) ---------------------------------------- (32) 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 ---------------------------------------- (33) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (34) 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 ---------------------------------------- (35) 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)) ---------------------------------------- (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__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 ---------------------------------------- (37) 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, s(z0))) -> c8(A__SEL(mark(x0), s(z0)), MARK(s(z0))) A__SEL(s(x0), cons(x1, 0)) -> c8(A__SEL(mark(x0), 0), MARK(0)) ---------------------------------------- (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)) 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 ---------------------------------------- (39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 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)) 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 ---------------------------------------- (41) 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))) ---------------------------------------- (42) 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 ---------------------------------------- (43) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (44) 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 ---------------------------------------- (45) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 6 trailing tuple parts ---------------------------------------- (46) 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 ---------------------------------------- (47) 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)) ---------------------------------------- (48) 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 ---------------------------------------- (49) 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)) ---------------------------------------- (50) 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 ---------------------------------------- (51) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (52) 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 ---------------------------------------- (53) 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))) ---------------------------------------- (54) 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 ---------------------------------------- (55) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, dbl(x2))) -> c7(A__SEL(cons(z0, z1), a__dbl(mark(x2))), MARK(cons(z0, z1))) A__SEL(s(nil), cons(x1, dbl(x2))) -> c7(A__SEL(nil, a__dbl(mark(x2))), MARK(nil)) ---------------------------------------- (56) 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 ---------------------------------------- (57) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (58) 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 ---------------------------------------- (59) 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))) ---------------------------------------- (60) 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 ---------------------------------------- (61) 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))) ---------------------------------------- (62) 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 ---------------------------------------- (63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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)) 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 ---------------------------------------- (65) 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))) ---------------------------------------- (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)) 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 ---------------------------------------- (67) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) A__SEL(s(nil), cons(x1, sel(x2, x3))) -> c7(A__SEL(nil, a__sel(mark(x2), mark(x3))), MARK(nil)) ---------------------------------------- (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)) 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 ---------------------------------------- (69) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (71) 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))) ---------------------------------------- (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(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 ---------------------------------------- (73) 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))) ---------------------------------------- (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(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 ---------------------------------------- (75) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (77) 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))) ---------------------------------------- (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(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 ---------------------------------------- (79) 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)) ---------------------------------------- (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(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 ---------------------------------------- (81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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, 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 ---------------------------------------- (83) 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))) ---------------------------------------- (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(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 ---------------------------------------- (85) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (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(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 ---------------------------------------- (87) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (89) 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))) ---------------------------------------- (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(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 ---------------------------------------- (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(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 ---------------------------------------- (93) 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))) ---------------------------------------- (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(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 ---------------------------------------- (95) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (97) 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))) ---------------------------------------- (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(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 ---------------------------------------- (99) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (101) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (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, 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 ---------------------------------------- (105) 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))) ---------------------------------------- (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, 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, 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))) 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 ---------------------------------------- (107) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 5 trailing nodes: A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(from(z0), mark(x2))) A__SEL(s(from(z0)), cons(x1, x2)) -> c7(A__SEL(cons(z0, from(s(z0))), mark(x2))) A__SEL(s(from(x0)), cons(x1, s(z0))) -> c7(A__SEL(a__from(x0), s(z0))) A__SEL(s(from(x0)), cons(x1, 0)) -> c7(A__SEL(a__from(x0), 0)) A__SEL(s(from(x0)), cons(x1, nil)) -> c7(A__SEL(a__from(x0), nil)) ---------------------------------------- (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, 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))) 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 ---------------------------------------- (109) 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))) ---------------------------------------- (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, 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)) 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 ---------------------------------------- (111) 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, s(z0))) -> c7(A__SEL(0, s(z0))) A__SEL(s(0), cons(x0, nil)) -> c7(A__SEL(0, nil)) ---------------------------------------- (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, 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 ---------------------------------------- (113) 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))) ---------------------------------------- (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, 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)) 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 ---------------------------------------- (115) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(s(x0)), cons(x1, nil)) -> c7(A__SEL(s(x0), nil)) 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))) ---------------------------------------- (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, 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 ---------------------------------------- (117) 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))) ---------------------------------------- (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(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))) 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 ---------------------------------------- (119) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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 ---------------------------------------- (121) 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))) ---------------------------------------- (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(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(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))), 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(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 ---------------------------------------- (123) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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))) 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 ---------------------------------------- (125) 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))) ---------------------------------------- (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(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 ---------------------------------------- (127) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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, 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), 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))) 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 ---------------------------------------- (129) 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))) ---------------------------------------- (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(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(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)) 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(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 ---------------------------------------- (131) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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))) 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 ---------------------------------------- (133) 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)) ---------------------------------------- (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(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, 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))) 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, 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 ---------------------------------------- (135) 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, nil)) -> c8(A__SEL(a__dbl(mark(x0)), nil), MARK(nil)) A__SEL(s(dbl(x0)), cons(x1, s(z0))) -> c8(A__SEL(a__dbl(mark(x0)), s(z0)), MARK(s(z0))) ---------------------------------------- (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(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))) -> 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)) 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 3 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(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 ---------------------------------------- (139) 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)) ---------------------------------------- (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(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))) -> 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)) 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 3 trailing nodes: 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)) A__SEL(s(dbls(x0)), cons(x1, nil)) -> c8(A__SEL(a__dbls(mark(x0)), nil), MARK(nil)) ---------------------------------------- (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(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, 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))) -> 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, 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 ---------------------------------------- (143) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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(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))) -> 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)) 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) 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)) ---------------------------------------- (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(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(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)), 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, 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 ---------------------------------------- (147) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: 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, 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))) ---------------------------------------- (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(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(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))), 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)) 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) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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(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))) 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)) 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(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)) ---------------------------------------- (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(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 ---------------------------------------- (153) 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, 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)) ---------------------------------------- (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(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, 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)) 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) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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(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)) -> 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)) 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) 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)) ---------------------------------------- (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(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 ---------------------------------------- (159) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(from(x0)), cons(x1, nil)) -> c8(A__SEL(a__from(x0), nil), MARK(nil)) 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, 0)) -> c8(A__SEL(a__from(x0), 0), MARK(0)) ---------------------------------------- (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(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, 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, 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 ---------------------------------------- (161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 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(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))) -> 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)) 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(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))) ---------------------------------------- (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(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)), 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)) -> 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)), 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 ---------------------------------------- (165) 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))) ---------------------------------------- (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(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)), 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)) -> 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)), 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 ---------------------------------------- (167) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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))) 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 ---------------------------------------- (169) 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))) ---------------------------------------- (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(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, 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)), 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, 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 ---------------------------------------- (171) 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, s(z0))) -> c8(A__SEL(s(x0), s(z0)), MARK(s(z0))) A__SEL(s(s(x0)), cons(x1, 0)) -> c8(A__SEL(s(x0), 0), MARK(0)) ---------------------------------------- (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(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))), 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))) 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 ---------------------------------------- (173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing tuple parts ---------------------------------------- (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(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))) 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)) 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))) 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 ---------------------------------------- (175) 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))) ---------------------------------------- (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(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))))) 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)), 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))))) 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 ---------------------------------------- (177) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, from(x2))) -> c8(A__SEL(cons(z0, z1), a__from(x2))) 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))) ---------------------------------------- (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(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, 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))))) 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 ---------------------------------------- (179) 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))) ---------------------------------------- (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(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))))) 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))), 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))))) 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 ---------------------------------------- (181) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: A__SEL(s(cons(z0, z1)), cons(x1, cons(x2, x3))) -> c8(A__SEL(cons(z0, z1), cons(x2, x3))) A__SEL(s(nil), cons(x1, cons(x2, x3))) -> c8(A__SEL(nil, cons(x2, x3))) ---------------------------------------- (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(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(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))))) 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 ---------------------------------------- (183) 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))) ---------------------------------------- (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(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))) 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)) 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))) 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 ---------------------------------------- (185) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (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(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), 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))) 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 ---------------------------------------- (187) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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(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))) 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)))) 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 ---------------------------------------- (189) 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))) ---------------------------------------- (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(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))), 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))) 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))) 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(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 ---------------------------------------- (191) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (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(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))), 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))) -> 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(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 ---------------------------------------- (193) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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))), 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)))) 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)), 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)))) 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 ---------------------------------------- (195) 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))) ---------------------------------------- (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(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, 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))) 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, 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 ---------------------------------------- (197) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: MARK(sel(cons(z0, z1), sel(x1, x2))) -> c17(A__SEL(cons(z0, z1), a__sel(mark(x1), mark(x2))), MARK(cons(z0, z1))) MARK(sel(nil, sel(x1, x2))) -> c17(A__SEL(nil, a__sel(mark(x1), mark(x2))), MARK(nil)) ---------------------------------------- (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(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, 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))) -> 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, 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 ---------------------------------------- (199) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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)))) 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 ---------------------------------------- (201) 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))) ---------------------------------------- (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(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(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))) -> 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(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 ---------------------------------------- (203) 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)) ---------------------------------------- (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(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(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), 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))) 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) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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, 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))) 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) 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))) ---------------------------------------- (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(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))) 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))) 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))) 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 ---------------------------------------- (209) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (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(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))) 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 ---------------------------------------- (211) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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), 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))) 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 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))) ---------------------------------------- (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(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))) 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, 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))) 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 ---------------------------------------- (215) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 2 trailing nodes: 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))) ---------------------------------------- (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(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), 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))) 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) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing tuple parts ---------------------------------------- (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(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(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)))) -> 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))) 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) 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))) ---------------------------------------- (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(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(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))) 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(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 ---------------------------------------- (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(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(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, 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))) 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(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))) ---------------------------------------- (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(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(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))) 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)), 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 ---------------------------------------- (225) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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(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)), 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))) 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) 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))) ---------------------------------------- (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(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(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, 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), 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, 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 ---------------------------------------- (229) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID)) Removed 4 trailing tuple parts ---------------------------------------- (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(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(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), 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))) 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) 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))) ---------------------------------------- (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, 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))) 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 ---------------------------------------- (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, 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(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)) -> 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))) 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 ---------------------------------------- (235) 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))) ---------------------------------------- (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, 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))) 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))) 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(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 ---------------------------------------- (237) 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(from(z0), mark(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(z0), x1)) -> c17(A__SEL(cons(z0, from(s(z0))), mark(x1))) ---------------------------------------- (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, 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), 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))) 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 ---------------------------------------- (239) 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))) ---------------------------------------- (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, 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), 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))) 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))) 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))) 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 ---------------------------------------- (241) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID)) Removed 3 trailing nodes: MARK(sel(0, 0)) -> c17(A__SEL(0, 0)) MARK(sel(0, nil)) -> c17(A__SEL(0, nil)) MARK(sel(0, s(z0))) -> c17(A__SEL(0, s(z0))) ---------------------------------------- (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, 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), 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(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))) 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